Cod sursa(job #2031100)

Utilizator robuvedVictor Robu robuved Data 2 octombrie 2017 18:56:07
Problema Algoritmul lui Euclid extins Scor 50
Compilator cpp Status done
Runda Arhiva educationala Marime 0.69 kb
#include <fstream>
using namespace std;

ifstream in("euclid3.in");
ofstream out("euclid3.out");
long Euclid(long a, long b)
{
	long r;
	do
	{
		r = a%b;
		a = b;
		b = r;
	} while (r);
	return r;
}
long EuclidExtins(long a, long b, long&x, long& y)
{
	if (b == 0)
	{
		x = 1;
		y = 0;
		return a;
	}
	long x1, y1;
	long r = EuclidExtins(b, a%b, x1, y1);

	x = y1;
	y = x1 - (a / b) * y1;

	return r;
}
int main()
{
	int T;
	in >> T;
	while (T--)
	{
		long a, b, c, x, y;
		in >> a >> b >> c;

		long gcd = EuclidExtins(a, b, x, y);

		if (c % gcd != 0)
			out << "0 0";
		else
		{
			out << x * c / gcd << ' ' << y * c / gcd;
		}
		out << '\n';		
	}
}