(Solved Homework): This code must be in c++ only….

This code must be in c++ only.

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The Greatest Common Divisor [GCD] Directions: Implement the Euclidean Algorithm to compute the greatest common divisor of any two integers. These two integers should be able to be positive, negative, zero, or any combination thereof. Input: 2 integers Output: 1 integer (ie: the gcd of the given integers)

Expert Answer

// C++ code
#include <iostream>
#include <stdio.h>
#include <algorithm>
#include <math.h>
using namespace std;

// Euclidean algorithm

int gcd(int a, int b)

{

a = abs(a);

b = abs(b);

if (a == 0)

return b;

return gcd(b%a, a);

}

int main()

{

int a,b;
cout << “Enter a: “;
cin >> a;

cout << “Enter b: “;
cin >> b;

cout << “gcd of ” << a << ” and ” << b << ” is ” << gcd(a,b) << endl;
return 0;

}

/*
output:

Enter a: 3
Enter b: 4
gcd of 3 and 4 is 1

Enter a: 5
Enter b: 10
gcd of 5 and 10 is 5

Enter a: -5
Enter b: -10
gcd of -5 and -10 is 5

Enter a: 3
Enter b: 0
gcd of 3 and 0 is 3

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