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Cod sursa(job #562346)
// infoarena: problema/oz //
#include <fstream>
using namespace std;
ifstream in("oz.in");
ofstream out("oz.out");
const unsigned int MAXN = 10010;
const unsigned int MAXM = 100010;
unsigned int gcd(unsigned int a, unsigned int b)
{
unsigned int r=1;
while(r)
{
r = a%b;
a = b;
b = r;
}
return a;
}
unsigned int n,m,i,j,a,b,d,x[MAXN];
int main()
{
in>>n>>m;
if(m == 0)
{
out<<-1;
return 0;
}
for(i=1; i<=n; i++)
x[i] = 1;
for(i=1; i<=m; i++)
{
in>>a>>b>>d;
if(gcd(x[a], x[b]) > d)
{
out<<-1<<flush;
return 0;
}
x[a] *= d/gcd(x[a], d);
x[b] *= d/gcd(x[b], d);
if(x[a] > 2000000 || x[b] > 2000000)
{
out<<-1<<flush;
return 0;
}
}
for(i=1; i<=n; i++)
out<<x[i]<<' '<<flush;
return 0;
}