/** * @file * @brief Compute the greatest common denominator of two integers using * *iterative form* of * [Euclidean algorithm](https://en.wikipedia.org/wiki/Euclidean_algorithm) * * @see gcd_recursive_euclidean.cpp, gcd_of_n_numbers.cpp */ #include #include /** * algorithm */ int gcd(int num1, int num2) { if (num1 <= 0 | num2 <= 0) { throw std::domain_error("Euclidean algorithm domain is for ints > 0"); } if (num1 == num2) { return num1; } int base_num = 0; int previous_remainder = 1; if (num1 > num2) { base_num = num1; previous_remainder = num2; } else { base_num = num2; previous_remainder = num1; } while ((base_num % previous_remainder) != 0) { int old_base = base_num; base_num = previous_remainder; previous_remainder = old_base % previous_remainder; } return previous_remainder; } /** * Main function */ int main() { 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; }