Cod sursa(job #2115281)

Utilizator catalinpuricoicatalinpuricoi catalinpuricoi Data 26 ianuarie 2018 16:30:08
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;
ifstream f("euclid3.in");
ofstream g("euclid3.out");
int t,i;
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()
{
    f>>t;
    for (i=1; i<=t; i++)
    {
        int A,B,C,D,X=0,Y=0;
        f>>A>>B>>C;

        assert( -1000000000 <= A && A <= 1000000000 );
        assert( -1000000000 <= B && B <= 1000000000 );
        assert( -2000000000 <= C && C <= 2000000000 && C != 0 );
        D = gcd( A, B, X, Y );
        if (C % D)
            g<<0<<' '<<0<<'\n';
        else
            g<< X * (C / D)<<' '<< Y * (C / D);
            g<<'\n';
    }

    return 0;
}