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📜  在数组的前半部分和后半部分中找到质数

📅  最后修改于: 2021-04-27 22:15:53             🧑  作者: Mango

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:

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)