Cod sursa(job #2655077)

Utilizator vladth11Vlad Haivas vladth11 Data 3 octombrie 2020 11:20:48
Problema Oz Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 0.98 kb
#include <bits/stdc++.h>

using namespace std;
const int NMAX = 1e5;
const int VALMAX = 2e9;

struct ura{
  int a, b, c;
}v[NMAX];

int cnt = 0;
long long lcm[NMAX];
long long euclid(long long a, long long b){
  if(a == 0)
    return b;
  return euclid(b % a, a);
}

int main(){
  int n, i, m;
  ifstream cin("oz.in");
  ofstream cout("oz.out");
  cin >> n >> m;
  for(i = 1; i <= n; i++)
    lcm[i] = 1;
  for(i = 1; i <= m; i++){
    long long a, b, c;
    cin >> a >> b >> c;
    v[++cnt] = {a, b, c};
    lcm[a] = lcm[a] * c / euclid(lcm[a], c);
    lcm[b] = lcm[b] * c / euclid(lcm[b], c);
  }
  int ok = 1;
  for(i = 1; i <= m; i++){
    long long a = v[i].a;
    long long b = v[i].b;
    long long c = v[i].c;
    if(euclid(lcm[a], lcm[b]) != c)
      ok = 0;
  }
  for(i = 1;i <= n; i++)
    if(lcm[i] > VALMAX)
    ok = 0;
  if(!ok){
    cout << -1;
  }else{
    for(i = 1; i <= n; i++){
      cout << lcm[i] << " ";
    }
  }
  return 0;
}