gcd_recursive_euclidean.cpp File Reference

Compute the greatest common denominator of two integers using recursive form of Euclidean algorithm More...

#include <iostream>

Include dependency graph for gcd_recursive_euclidean.cpp:

Functions
int	gcd (int num1, int num2)
int	main ()

Detailed Description

Compute the greatest common denominator of two integers using recursive form of Euclidean algorithm

See also

gcd_iterative_euclidean.cpp, gcd_of_n_numbers.cpp

Function Documentation

gcd()

int gcd	(	int	num1,
		int	num2 )

algorithm

                            {
    if (num1 <= 0 | num2 <= 0) {
        throw std::domain_error("Euclidean algorithm domain is for ints > 0");
    }
 
    if (num1 == num2) {
        return num1;
    }
 
    // Everything divides 0
    if (num1 == 0)
        return num2;
    if (num2 == 0)
        return num1;
 
    // base case
    if (num1 == num2)
        return num1;
 
    // a is greater
    if (num1 > num2)
        return gcd(num1 - num2, num2);
    return gcd(num1, num2 - num1);
}

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main()

int main

(

void

)

Main function

           {
    std::cout << "gcd of 120,7 is " << (gcd(120, 7)) << std::endl;
    try {
        std::cout << "gcd of -120,10 is " << gcd(-120, 10) << std::endl;
    } catch (const std::domain_error &e) {
        std::cout << "Error handling was successful" << std::endl;
    }
    std::cout << "gcd of 312,221 is " << (gcd(312, 221)) << std::endl;
    std::cout << "gcd of 289,204 is " << (gcd(289, 204)) << std::endl;
    return 0;
}

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