Cod sursa(job #1220814)

Utilizator borcanirobertBorcani Robert borcanirobert Data 18 august 2014 16:56:35
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.79 kb
#include <fstream>
#include <iostream>
using namespace std;

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

int t;

int Desc( int A, int B, int &X, int &Y );

int main()
{
    int A, B, C, D;
    int X, Y;

    fin >> t;

    for ( int i = 1; i <= t; i++ )
    {
        fin >> A >> B >> C;

        D = Desc( 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;
}

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

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

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