Cod sursa(job #1148900)

Utilizator Ionut228Ionut Calofir Ionut228 Data 21 martie 2014 11:36:35
Problema Algoritmul lui Euclid extins Scor 50
Compilator cpp Status done
Runda Arhiva educationala Marime 0.68 kb
#include <fstream>

using namespace std;

ifstream fin("euclid3.in");
ofstream fout("euclid3.out");

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 X0, Y0;
    int D = gcd(b, a % b, X0, Y0);

    X = Y0;
    Y = X0 - (a / b) * Y0;

    return D;
}

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

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

    fin.close();
    fout.close();
    return 0;
}