Cod sursa(job #2721845)

Utilizator adiaioanaAdia R. adiaioana Data 12 martie 2021 12:32:59
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.85 kb
#include <fstream>

using namespace std;
ifstream cin("euclid3.in");
ofstream cout("euclid3.out");
int cmmdc(int a,int b)
{
    if(b==0)
        return a;
    int r=a%b;
    while(r)
    {
        a=b;
        b=r;
        r=a%b;
    }
    return b;
}

void eucextins(int a, int b, int &x, int &y)
{
    if(b==0)
    {
        x=1; y=0;
    }
    else{
        int x0,y0,c;
        x0=y0=0; c=a/b;
        eucextins(b,a%b,x0,y0);
        x=y0;
        y=x0-c*y0;
    }
}

int main()
{
    int a,b,c,d,x,y,M;
    cin>>M;
    while(M--)
    {
        cin>>a>>b>>c;
        d=cmmdc(a,b);
        if(c%d!=0)
            cout<<"0 0"<<'\n';
        else{
            x=y=0;
            eucextins(a,b,x,y);
            x=x*(c/d);
            y=y*(c/d);
            cout<<x<<' '<<y<<'\n';
        }
    }
    return 0;
}