Cod sursa(job #1409224)

Utilizator andreimdvMoldovan Andrei andreimdv Data 30 martie 2015 14:08:26
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.01 kb
#include <fstream>

using namespace std;

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

int a,b,c,d,t,i;


int cmmdc(int a,int b)
{

    int r=a%b;
    while(r)
    {
        a=b;
        b=r;
        r=a%b;
    }
    return b;
}

void euclid_extins(int a,int &x,int b,int &y)
{
    if(b==0)
    {
        x=1;
        y=0;
        return ;
    }
    int x0=0,y0=0;
    euclid_extins(b,x0,a%b,y0);

    x=y0;
    y=x0-(a/b)*y0;

}

int main()
{
    fin>>t;
    for(i=1;i<=t;++i)
    {
        fin>>a>>b>>c;
        if(b==0)
        {
            if(c%a==0)
            {
                fout<<c/a<<" 0\n";
            }
            else
                fout<<"0 0\n";
            continue;
        }

        d=cmmdc(a,b);
        if(c%d!=0)
        {
            fout<<"0 0\n";
        }
        else
        {
            int x=0,y=0;
            euclid_extins(a,x,b,y);
            fout<<x*(c/d)<<" "<<y*(c/d)<<'\n';
        }
    }
    return 0;
}