#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

typedef long long ll;

ll gcd(ll a,ll b){
	if(b==0)
		return a;
	else
		return gcd(b,a%b);
}

ll lcm(ll a,ll b){
	return a*b/gcd(a,b);
}


void divs(ll &d,ll &v){
	for(ll i = 2; i <= min(d,v); i++){
		if(d%i==0&&v%i==0){
			d/=i;
			v/=i;
			i=1;
		}
	}
}

int main(){

	ll n;
	while(cin>>n&&n!=0){
		ll d,v;
		vector<ll> ds;
		vector<ll> vs;
		bool oo=false;
		for(ll i = 0; i < n; i++){
			cin>>d>>v;

			divs(d,v);


			ds.push_back(d);
			vs.push_back(v);
		}


		ll z=1;
		ll nums[11];
		ll allv=1;

		bool same=true;
		for(ll i = 1; i < n; i++){
			ll n1=ds[i-1]*vs[i];
			ll n2=ds[i]*vs[i-1];
			ll ret=lcm(n1,n2);
			ll r1=ret/n1;
			ll r2=ret/n2;
			if(ds[i-1]==ds[i]&&vs[i-1]==vs[i]){
				z=lcm(z,1);
				same=true;
			}
			else{
			//	if(vs[i-1]!=0)
				if(r1*ds[i-1]<vs[i-1]){
					z=1;
				}
				else{
					z=lcm(z,r1*ds[i-1]/vs[i-1]);
				}
//				else
//					z=1;
				same=false;
			}
		}
		vector<ll> vll;
		ll m;
		if(!same){
			for(ll i = 0; i < n; i++){
				//if(ds[i]!=0){
					vll.push_back(z*vs[i]/ds[i]);
					if(i==0){
						m=z*vs[i]/ds[i];
					}
					else{
						m=gcd(m,z*vs[i]/ds[i]);
					}
			///	}
			//	else{
				//	vll.push_back(1);
				//	m=1;
			//	}
			}
			for(int i = 0; i < n; i++){
				cout<<vll[i]/m<<endl;
			}
		}
		else{
			for(int i = 0; i < n; i++){
				cout<<1<<endl;
			}
		}
	}

	return 0;
}