DSA/algorithms/CPlusPlus/Recursion/product-of-digits.cpp

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/*
Description: A program to get product of digits using recursion
TIme Complexity: O(n) where n is the number of digits present in the number
*/
#include <iostream>
using namespace std;
//function starts
int dp(int n)
{
//base case
//where n is a one-digit number
if (n % 10 == n)
{
return n;
}
//recursive function call
//at every recursive call, dividing the number by 10
return (n % 10) * dp(n / 10);
}
//main starts
int main()
{
int n = 333;
cout << dp(n);
return 0;
}
/*
Sample Input:
n=333
Output: 27
Sample Input:
n=412
Output: 8
*/