Cod sursa(job #1376860)

Utilizator alex_unixPetenchea Alexandru alex_unix Data 5 martie 2015 19:12:07
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.59 kb

#include <fstream>

int ExtendedEuclidean (int a, int b, int &x, int &y)
{
	if (!b)
	{
		x = 1;
		y = 0;
		return a;
	}
	int x1, y1, gcd(ExtendedEuclidean(b,a % b,x1,y1));
	x = y1;
	y = x1 - (a / b) * y1;
	return gcd;
}

int main (void)
{
	std::ifstream input("euclid3.in");
	int t;
	input >> t;
	std::ofstream output("euclid3.out");
	int a, b, c, x, y, gcd;
	while (t)
	{
		input >> a >> b >> c;
		gcd = ExtendedEuclidean(a,b,x,y);
		if (c % gcd) 
			output << "0 0";
		else
			output << x * (c / gcd) << ' ' << y * (c / gcd);
		output.put('\n');
		--t;
	}
	input.close();
	output.close();
	return 0;
}