Cod sursa(job #1639995)

Utilizator bogdanciurezubogdan ciurezu bogdanciurezu Data 8 martie 2016 15:14:08
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.89 kb
#include <fstream>

using namespace std;

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

long long t, a, b, c;

void euclid(long long a, long long b, long long *cmmdc){

    if(b == 0){
        *cmmdc = a;
    }
    else {
        euclid(b, a % b, cmmdc);
    }
}

void euclidExtins(long long a, long long b, long long *x, long long *y){

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

int main()
{
    f>>t;

    while(t--){
        long long cmmdc = 0, x, y;
        f>>a>>b>>c;

        euclid(a, b, &cmmdc);

        if(c % cmmdc == 0){
            euclidExtins(a, b, &x, &y);

            g<<x * (c/ cmmdc)<<' '<<y * (c/ cmmdc)<<'\n';
        }
        else g<<0<<' '<<0<<'\n';

    }
    return 0;
}