可被给定数 k 整除的链表的最大和最小元素

给定一个单链表$N$节点。查找链表中可被给定数字整除的最小和最大元素$K$ .
例子：

Input : List = 15 -> 14 -> 13 -> 22 -> 50 
K = 5 
Output : 
Maximum element in linked list divisible by K: 50 
Minimum element in linked list divisible by K: 5
Input : List = 10 -> 14 -> 13 -> 22 -> 100 
K = 10 
Output : 
Maximum element in linked list divisible by K: 100 
Minimum element in linked list divisible by K: 10 
 

方法：

• 思路是将链表遍历到底，将max和min变量分别初始化为INT_MIN和INT_MAX。
• 之后检查一个条件，如果最大值小于当前节点的值并且可以被 K 整除，则当前节点的值被分配给最大值。
• 类似地检查当前节点的值是否小于最小值并且可以被 k 整除，则当前节点的值被分配给 min。重复以上两个步骤，直到到达列表的末尾。

下面是上述方法的实现：

C++

// Program to find the smallest and largest
// elements divisible by a given number k
// in singly linked list
 
#include 
 
using namespace std;
 
/* Linked list node */
struct Node {
    int data;
    struct Node* next;
};
 
// Function to print max and min elements of
// linked list divisible by K
void findMaxMin(struct Node* head, int k)
{
    // Declare a min variable and initialize
    // it with INT_MAX value.
    // INT_MAX is integer type and its value
    // is 32767 or greater.
    int min = INT_MAX;
 
    // Declare a max variable and initialize
    // it with INT_MIN value.
    // INT_MIN is integer type and its value
    // is -32767 or less.
    int max = INT_MIN;
 
    // Check loop while head not equal to NULL
    while (head != NULL) {
 
        // If head->data is less than min and divisible
        // by k then assign value of head->data to min
        // otherwise node point to next node.
        if ((head->data < min) && (head->data % k == 0))
            min = head->data;
 
        // If head->data is greater than max and divisible
        // by k then assign value of head->data to max
        // otherwise node point to next node.
        if ((head->data > max) && (head->data % k == 0))
            max = head->data;
 
        head = head->next;
    }
 
    // Print max element
    cout << "Max Element : " << max << endl;
 
    // print min element
    cout << "Min Element : " << min;
}
 
// Function that pushes the element in the linked list.
void push(struct Node** head, int data)
{
    // Allocate dynamic memory for newNode.
    struct Node* newNode = new Node();
 
    // Assign the data into newNode.
    newNode->data = data;
 
    // newNode->next assign the address of
    // head node.
    newNode->next = (*head);
 
    // newNode become the headNode.
    (*head) = newNode;
}
 
// Driver Code
int main()
{
    // Start with empty list
    struct Node* head = NULL;
 
    // Using push() function to construct
    // singly linked list
    // 50->5->13->14->15
    push(&head, 15);
    push(&head, 14);
    push(&head, 13);
    push(&head, 5);
    push(&head, 50);
 
    int k = 5;
 
    findMaxMin(head, k);
 
    return 0;
}

Java

// Java program to find the smallest and largest
// elements divisible by a given number k
// in singly linked list
class GFG
{
     
// Linked list node /
static class Node
{
    int data;
    Node next;
};
 
// Function to print max and min elements of
// linked list divisible by K
static void findMaxMin( Node head, int k)
{
    // Declare a min variable and initialize
    // it with INT_MAX value.
    // INT_MAX is integer type and its value
    // is 32767 or greater.
    int min = Integer.MAX_VALUE;
 
    // Declare a max variable and initialize
    // it with INT_MIN value.
    // INT_MIN is integer type and its value
    // is -32767 or less.
    int max = Integer.MIN_VALUE;
 
    // Check loop while head not equal to null
    while (head != null)
    {
 
        // If head.data is less than min and divisible
        // by k then assign value of head.data to min
        // otherwise node point to next node.
        if ((head.data < min) && (head.data % k == 0))
            min = head.data;
 
        // If head.data is greater than max and divisible
        // by k then assign value of head.data to max
        // otherwise node point to next node.
        if ((head.data > max) && (head.data % k == 0))
            max = head.data;
 
        head = head.next;
    }
 
    // Print max element
    System.out.println( "Max Element : " + max);
 
    // print min element
    System.out.println( "Min Element : " + min);
}
 
// Function that push the element in linked list.
static Node push( Node head, int data)
{
    // Allocate dynamic memory for newNode.
    Node newNode = new Node();
 
    // Assign the data into newNode.
    newNode.data = data;
 
    // newNode.next assign the address of
    // head node.
    newNode.next = (head);
 
    // newNode become the headNode.
    (head) = newNode;
    return head;
}
 
// Driver Code
public static void main(String args[])
{
    // Start with empty list
    Node head = null;
 
    // Using push() function to con
    // singly linked list
    // 50.5.13.14.15
    head = push(head, 15);
    head = push(head, 14);
    head = push(head, 13);
    head = push(head, 5);
    head = push(head, 50);
 
    int k = 5;
 
    findMaxMin(head, k);
}
}
 
// This code is contributed by Arnab Kundu

Python3

# Python3 program to find the smallest and largest
# elements divisible by a given number k
# in singly linked list
 
# Linked list node /
class Node:
    def __init__(self):
        self.data = 0
        self.next = None
 
# Function to print max and min elements of
# linked list divisible by K
def findMaxMin(head, k):
 
    # Declare a min variable and initialize
    # it with INT_MAX value.
    # INT_MAX is integer type and its value
    # is 32767 or greater.
    min = 32767
 
    # Declare a max variable and initialize
    # it with INT_MIN value.
    # INT_MIN is integer type and its value
    # is -32767 or less.
    max = -32767
 
    # Check loop while head not equal to None
    while (head != None) :
     
        # If head.data is less than min and divisible
        # by k then assign value of head.data to min
        # otherwise node point to next node.
        if ((head.data < min) and (head.data % k == 0)) :
            min = head.data
 
        # If head.data is greater than max and divisible
        # by k then assign value of head.data to max
        # otherwise node point to next node.
        if ((head.data > max) and (head.data % k == 0)) :
            max = head.data
 
        head = head.next
     
    # Print max element
    print( "Max Element : " , max)
 
    # print min element
    print( "Min Element : " , min)
 
# Function that push the element in linked list.
def push( head, data):
 
    # Allocate dynamic memory for newNode.
    newNode = Node()
 
    # Assign the data into newNode.
    newNode.data = data
 
    # newNode.next assign the address of
    # head node.
    newNode.next = (head)
 
    # newNode become the headNode.
    (head) = newNode
    return head
 
# Driver Code
 
# Start with empty list
head = None
 
# Using push() function to con
# singly linked list
# 50.5.13.14.15
head = push(head, 15)
head = push(head, 14)
head = push(head, 13)
head = push(head, 5)
head = push(head, 50)
 
k = 5
 
findMaxMin(head, k)
 
# This code is contributed by Arnab Kundu

C#

// C# program to find the smallest and largest
// elements divisible by a given number k
// in singly linked list
using System;
 
class GFG
{
     
// Linked list node /
public class Node
{
    public int data;
    public Node next;
};
 
// Function to print max and min elements of
// linked list divisible by K
static void findMaxMin( Node head, int k)
{
    // Declare a min variable and initialize
    // it with INT_MAX value.
    // INT_MAX is integer type and its value
    // is 32767 or greater.
    int min = int.MaxValue;
 
    // Declare a max variable and initialize
    // it with INT_MIN value.
    // INT_MIN is integer type and its value
    // is -32767 or less.
    int max = int.MinValue;
 
    // Check loop while head not equal to null
    while (head != null)
    {
 
        // If head.data is less than min and divisible
        // by k then assign value of head.data to min
        // otherwise node point to next node.
        if ((head.data < min) && (head.data % k == 0))
            min = head.data;
 
        // If head.data is greater than max and divisible
        // by k then assign value of head.data to max
        // otherwise node point to next node.
        if ((head.data > max) && (head.data % k == 0))
            max = head.data;
 
        head = head.next;
    }
 
    // Print max element
    Console.WriteLine( "Max Element : " + max);
 
    // print min element
    Console.WriteLine( "Min Element : " + min);
}
 
// Function that push the element in linked list.
static Node push( Node head, int data)
{
    // Allocate dynamic memory for newNode.
    Node newNode = new Node();
 
    // Assign the data into newNode.
    newNode.data = data;
 
    // newNode.next assign the address of
    // head node.
    newNode.next = (head);
 
    // newNode become the headNode.
    (head) = newNode;
    return head;
}
 
// Driver Code
public static void Main(String []args)
{
    // Start with empty list
    Node head = null;
 
    // Using push() function to con
    // singly linked list
    // 50.5.13.14.15
    head = push(head, 15);
    head = push(head, 14);
    head = push(head, 13);
    head = push(head, 5);
    head = push(head, 50);
 
    int k = 5;
 
    findMaxMin(head, k);
}
}
 
// This code contributed by Rajput-Ji

Javascript

// javascript program to find the smallest and largest
// elements divisible by a given number k
// in singly linked list     // Linked list node /
class Node {
    constructor(val) {
        this.data = val;
        this.next = null;
    }
}
 
    // Function to print max and min elements of
    // linked list divisible by K
    function findMaxMin(head , k) {
        // Declare a min variable and initialize
        // it with INT_MAX value.
        // INT_MAX is integer type and its value
        // is 32767 or greater.
        var min = Number.MAX_VALUE;
 
        // Declare a max variable and initialize
        // it with INT_MIN value.
        // INT_MIN is integer type and its value
        // is -32767 or less.
        var max = Number.MIN_VALUE;
 
        // Check loop while head not equal to null
        while (head != null) {
 
            // If head.data is less than min and divisible
            // by k then assign value of head.data to min
            // otherwise node point to next node.
            if ((head.data < min) && (head.data % k == 0))
                min = head.data;
 
            // If head.data is greater than max and divisible
            // by k then assign value of head.data to max
            // otherwise node point to next node.
            if ((head.data > max) && (head.data % k == 0))
                max = head.data;
 
            head = head.next;
        }
 
        // Print max element
        document.write("Max Element : " + max);
 
        // print min element
        document.write("<br/>Min Element : " + min);
    }
 
    // Function that push the element in linked list.
    function push(head , data) {
        // Allocate dynamic memory for newNode.
var newNode = new Node();
 
        // Assign the data into newNode.
        newNode.data = data;
 
        // newNode.next assign the address of
        // head node.
        newNode.next = (head);
 
        // newNode become the headNode.
        (head) = newNode;
        return head;
    }
 
    // Driver Code
     
        // Start with empty list
var head = null;
 
        // Using push() function to con
        // singly linked list
        // 50.5.13.14.15
        head = push(head, 15);
        head = push(head, 14);
        head = push(head, 13);
        head = push(head, 5);
        head = push(head, 50);
 
        var k = 5;
 
        findMaxMin(head, k);
 
// This code contributed by umadevi9616

输出：

Max Element : 50
Min Element : 5

时间复杂度： O(n)
辅助空间：O(1)