Cod sursa(job #1452820)

Utilizator infoprof6Mironescu Valeriu infoprof6 Data 21 iunie 2015 21:12:05
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.84 kb
#include <fstream>
#include <assert.h>
using namespace std;

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

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

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

int main()
{
    ifstream f("euclid3.in");
    ofstream g("euclid3.out");

    int T;
    for (f>>T, assert( T <= 100 ); T; T--)
    {
        int A, B, C;
        f>>A>>B>>C;

        assert( -1000000000 <= A and A <= 1000000000 );
        assert( -1000000000 <= B and B <= 1000000000 );
        assert( -2000000000 <= C and C <= 2000000000 && C != 0 );
        int D, X, Y;
        D = gcd( A, B, X, Y );

        if (C % D) g<<"\n0    0";
        else g<<'\n'<< X * (C / D)<<"  "<< Y * (C / D);
    }

    return 0;
}