Cod sursa(job #968653)

Utilizator darrenRares Buhai darren Data 2 iulie 2013 14:47:37
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.83 kb
#include <fstream>

using namespace std;

int T;
int 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 d = gcd(b, a % b, xn, yn);

    x = yn;
    y = xn - (a / b) * yn;

    return d;
}

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

    fin >> T;
    for (int test = 1; test <= T; ++test)
    {
        fin >> A >> B >> C;

        if (A == 0 && B == 0)
        {
            fout << 0 << ' ' << 0 << '\n';
            continue;
        }

        int x, y, d;
        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();
}