Cod sursa(job #2565287)

Utilizator Mihai145Oprea Mihai Adrian Mihai145 Data 2 martie 2020 13:22:29
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.65 kb
#include <fstream>

using namespace std;

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

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 - y0 * (a / b));

    return d;
}

int main()
{
    int T; fin >> T;

    while(T--)
    {
        int a, b, c, x, y;
        fin >> a >> b >> c;
        int d = GCD(a, b, x, y);

        if(c % d)
            fout << 0 << ' ' << 0 << '\n';
        else
            fout << x * (c / d) << ' ' << y * (c / d) << '\n';
    }

    return 0;
}