Cod sursa(job #3213211)

Utilizator NarcisMMic Narcis NarcisM Data 12 martie 2024 18:29:56
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.79 kb
#include <fstream>

using namespace std;

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

long long euclid (long long a, long long b, long long &x, long long &y)
{
    if (b == 0)
    {
        x = 1;
        y = 0;
        return a;
    }
    long long d, x0, y0;
    d = euclid(b, a % b, x0, y0);
    x = y0;
    y = x0 - (a / b) * y0;
    return d;
}

void solve ()
{
    long long a, b, c;
    in >> a >> b >> c;
    long long x, y, d;
    d = euclid(a, b, x, y);
    if (c % d != 0)
    {
        out << "0 0" << '\n';
    }
    else
    {
        out << x * (c / d) << " " << y * (c / d) << '\n';
    }
}

signed main ()
{
    long long t;
    in >> t;
    while (t--)
    {
        solve();
    }
    in.close();
    out.close();
    return 0;
}