给定大小为N的数组arr 。任务是在数组的前半部分(直到索引N / 2 )和后半部分(所有其余元素)中找到质数。
例子:
Input : arr[] = {2, 5, 10, 15, 17, 21, 23 }
Output :2 5 and 17 23
Prime numbers in the first half of an array are 2, 5 and in the second half are 17, 23
Input : arr[] = {31, 35, 40, 43}
Output :31 and 43
方法:
首先遍历数组直到N / 2,并检查所有元素是否为质数,并打印质数。然后遍历从第N / 2个元素到N的数组,查找元素是否为素数,并打印所有这些素数的元素。
下面是上述方法的实现:
C++
// C++ program to print the prime numbers in the
// first half and second half of an array
#include
using namespace std;
// Function to check if a number is prime or not
bool prime(int n)
{
for (int i = 2; i * i <= n; i++)
if (n % i == 0)
return false;
return true;
}
// Function to find whether elements are prime or not
void prime_range(int start, int end, int* a)
{
// Traverse in the given range
for (int i = start; i < end; i++) {
// Check if a number is prime or not
if (prime(a[i]))
cout << a[i] << " ";
}
}
// Function to print the prime numbers in the
// first half and second half of an array
void Print(int arr[], int n)
{
cout << "Prime numbers in the first half are ";
prime_range(0, n / 2, arr);
cout << endl;
cout << "Prime numbers in the second half are ";
prime_range(n / 2, n, arr);
cout << endl;
}
// Driver Code
int main()
{
int arr[] = { 2, 5, 10, 15, 17, 21, 23 };
int n = sizeof(arr) / sizeof(arr[0]);
// Function call
Print(arr, n);
return 0;
}
Java
// Java program to print the prime numbers in the
// first half and second half of an array
import java.util.*;
class GFG
{
// Function to check if
// a number is prime or not
static boolean prime(int n)
{
for(int i = 2; i * i <= n; i++)
if(n % i == 0)
return false;
return true;
}
// Function to find whether elements
// are prime or not
static void prime_range(int start,
int end, int[] a)
{
// Traverse in the given range
for (int i = start; i < end; i++)
{
// Check if a number is prime or not
if(prime(a[i]))
System.out.print(a[i] + " ");
}
}
// Function to print the prime numbers in the
// first half and second half of an array
static void Print(int arr[], int n)
{
System.out.print("Prime numbers in the first half are ");
prime_range(0, n / 2, arr);
System.out.println();
System.out.print("Prime numbers in the second half are ");
prime_range(n / 2, n, arr);
System.out.println();
}
// Driver Code
public static void main(String[] args)
{
int arr[] = { 2, 5, 10, 15, 17, 21, 23 };
int n = arr.length;
// Function call
Print(arr, n);
}
}
// This code is contributed by Princi Singh
Python3
# Python3 program to print the
# prime numbers in the first half
# and second half of an array
# Function to check if
# a number is prime or not
def prime(n):
for i in range(2, n):
if i * i > n:
break
if(n % i == 0):
return False;
return True
# Function to find whether
# elements are prime or not
def prime_range(start, end, a):
# Traverse in the given range
for i in range(start, end):
# Check if a number is prime or not
if(prime(a[i])):
print(a[i], end = " ")
# Function to print the
# prime numbers in the first half
# and second half of an array
def Print(arr, n):
print("Prime numbers in the",
"first half are ", end = "")
prime_range(0, n // 2, arr)
print()
print("Prime numbers in the",
"second half are ", end = "")
prime_range(n // 2, n, arr)
print()
# Driver Code
arr = [2, 5, 10, 15, 17, 21, 23]
n = len(arr)
# Function call
Print(arr, n)
# This code is contributed
# by Mohit Kumar
C#
// C# program to print the prime numbers in the
// first half and second half of an array
using System;
class GFG
{
// Function to check if
// a number is prime or not
static Boolean prime(int n)
{
for(int i = 2; i * i <= n; i++)
if(n % i == 0)
return false;
return true;
}
// Function to find whether elements
// are prime or not
static void prime_range(int start,
int end, int[] a)
{
// Traverse in the given range
for (int i = start; i < end; i++)
{
// Check if a number is prime or not
if(prime(a[i]))
Console.Write(a[i] + " ");
}
}
// Function to print the prime numbers in the
// first half and second half of an array
static void Print(int []arr, int n)
{
Console.Write("Prime numbers in the first half are ");
prime_range(0, n / 2, arr);
Console.WriteLine();
Console.Write("Prime numbers in the second half are ");
prime_range(n / 2, n, arr);
Console.WriteLine();
}
// Driver Code
public static void Main(String[] args)
{
int []arr = { 2, 5, 10, 15, 17, 21, 23 };
int n = arr.Length;
// Function call
Print(arr, n);
}
}
// This code is contributed by 29AjayKumar
Javascript
输出:
Prime numbers in the first half are 2 5
Prime numbers in the second half are 17 23
时间复杂度: O(n * sqrt(n))
辅助空间: O(1)