Cod sursa(job #2791555)

Utilizator francescom_481francesco martinut francescom_481 Data 30 octombrie 2021 18:33:06
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.59 kb
#include <bits/stdc++.h>

using namespace std;

ifstream fin("euclid3.in");
ofstream fout("euclid3.out");
#define cin fin
#define cout fout

int gcd( int A, int B, int &X, int &Y )
{
	if (B == 0)
	{
		X = 1;
		Y = 0;
		return A;
	}

	int X0, Y0, D;
	D = gcd( B, A % B, X0, Y0 );

	X = Y0;
	Y = X0 - (A / B) * Y0;
	return D;
}

int main()
{
	int T;
	cin >> T;
	for( ; T ; T--)
	{
		int A, B, C;
		cin >> A >> B >> C;
		int D, X, Y;
		D = gcd( A, B, X, Y );

		if (C % D)cout << "0 0\n";
		else cout << X * (C / D) << " " << Y * (C / D) << '\n';
	}

	return 0;
}