Cod sursa(job #1414138)

Utilizator darrenRares Buhai darren Data 2 aprilie 2015 13:21:25
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.57 kb
#include <fstream>
#include <algorithm>

using namespace std;

int T, A, B, C;

int gcd(int a, int b, int &x, int &y)
{
	if (b == 0)
	{
		x = 1;
		y = 0;
		return a;
	}
	
	int xn, yn;
	int res = gcd(b, a % b, xn, yn);
	x = yn;
	y = xn - (a / b) * yn;
	
	return res;
}

int main()
{
	ifstream fin("euclid3.in");
	ofstream fout("euclid3.out");
	
	fin >> T;
	while (T--)
	{
		fin >> A >> B >> C;
		
		int x, y;
		int D = gcd(A, B, x, y);
		
		if (C % D != 0)
			fout << 0 << ' ' << 0 << '\n';
		else
			fout << x * (C / D) << ' ' << y * (C / D) << '\n';
	}
	
	fin.close();
	fout.close();
}