#include <cstdlib>
#include <cmath>
#include <climits>
#include <cfloat>
#include <map>
//#include <utility>
#include <set>
#include <iostream>
//#include <memory>
#include <string>
#include <vector>
#include <algorithm>
//#include <functional>
#include <sstream>
//#include <deque>
#include <complex>
#include <stack>
#include <queue>
#include <cstdio>
//#include <cctype>
#include <cstring>
//#include <ctime>
#include <iterator>
#include <bitset>
//#include <numeric>
//#include <list>
//#include <iomanip>

#if __cplusplus >= 201103L
#include <array>
#include <tuple>
#include <initializer_list>
#include <unordered_set>
#include <unordered_map>
#include <forward_list>

#define cauto const auto&
#else

#endif

using namespace std;


namespace{
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

typedef vector<int> vint;
typedef vector<vector<int> > vvint;
typedef vector<long long> vll, vLL;
typedef vector<vector<long long> > vvll, vvLL;

#define VV(T) vector<vector< T > >

template <class T>
void initvv(vector<vector<T> > &v, int a, int b, const T &t = T()){
    v.assign(a, vector<T>(b, t));
}

template <class F, class T>
void convert(const F &f, T &t){
    stringstream ss;
    ss << f;
    ss >> t;
}


#define reep(i,a,b) for(int i=(a);i<(b);++i)
#define rep(i,n) reep((i),0,(n))
#define ALL(v) (v).begin(),(v).end()
#define PB push_back
#define F first
#define S second
#define mkp make_pair
#define RALL(v) (v).rbegin(),(v).rend()


#define MOD 1000000007LL
#define EPS 1e-8
static const int INF=1<<24;
ll __lcm(ll a,ll b){
	return a/__gcd(a,b)*b;
}
void mainmain(){
	int n;
	while(cin>>n,n){
		vector<pll> v(n);
		rep(i,n) scanf("%lld %lld",&v[i].F,&v[i].S);
		ll g=v[0].F;
		reep(i,1,n){
			g=__lcm(v[i].F,g);
			// g=v[i+1].S/__gcd(g,v[i+1].S)*g;
		}
		// cout<<"g "<<g<<endl;
		rep(i,n){
			// ll t=g/v[i].S;
			v[i].S=g*v[i].S/v[i].F;
		}
		ll e=v[0].S;
		reep(i,1,n){
			e=__gcd(e,v[i].S);
		}
		rep(i,n){
			printf("%lld\n",v[i].S/e);
		}
		continue;
	}
}



}
main() try{
    mainmain();
}
catch(...){
}