Write a C++ program to find the factorial of a given integer using recursion.sample input and outputEnter a positive integer: 5 Factorial of 5 is: 120

Sure, here is a simple C++ program that calculates the factorial of a number using recursion:

#include<iostream>
using namespace std;

// Function to calculate factorial
int factorial(int n){
    if(n > 1)
        return n * factorial(n - 1);
    else
        return 1;
}

int main(){
    int num;
    cout << "Enter a positive integer: ";
    cin >> num;
    cout << "Factorial of " << num << " is: " << factorial(num) << endl;
    return 0;
}

This program works as follows:

1. It first includes the necessary libraries.
2. It then defines a recursive function factorial that calculates the factorial of a number.
3. In the main function, it prompts the user to enter a positive integer.
4. It then calls the factorial function with the entered number and prints the result.