Go: package main

import (
	"bufio"
	"os"
	"strconv"
	"strings"
	"fmt"
)

var scanner = bufio.NewScanner(os.Stdin)

func main() {
	for scanner.Scan() {
		n, _ := strconv.Atoi(scanner.Text())
		if n == 0 {
			break
		}
		d, v := make([]int, 0), make([]int, 0)
		for i := 0; i < n; i++ {
			scanner.Scan()
			buf := strings.Split(scanner.Text(), " ")
			a, _ := strconv.Atoi(buf[0])
			b, _ := strconv.Atoi(buf[1])
			g := _gcd(a, b)
			a /= g
			b /= g
			d = append(d, a)
			v = append(v, b)
		}
		g := lcm(n, d)
		for i := 0; i < n; i++ {
			d[i] = (g/d[i])*v[i]
		}
		g = gcd(n, d)
		for i := 0; i < n; i++ {
			fmt.Println(d[i]/g)
		}
	}
}

func _gcd(a, b int) int {
	for b != 0 {
		r := a % b
		a, b = b, r
	}
	return a
}

func gcd(n int, a []int) int {
	if n == 1 {
		return a[0]
	}
	g := _gcd(a[0], a[1])
	for i := 2; i < n; i++ {
		if g == 1 {
			break
		}
		g = _gcd(g, a[i])
	}
	return g
}

func lcm(n int, a []int) int {
	if n == 1 {
		return a[0]
	}
	g := _gcd(a[0], a[1])
	c := a[0] / g * a[1]
	for i := 2; i < n; i++ {
		g = _gcd(c, a[i])
		c = c / g * a[i]
	}
	return c
}

C++: #include<cstdio>
#include<iostream>
#include<vector>
#include<string>
#include<algorithm>
#include<map>
#include<set>
#include<cmath>

using namespace std;

#define reps(i,f,n) for(int i=f;i<int(n);i++)
#define rep(i,n) reps(i,0,n)

#ifdef __BORLANDC__
	typedef __int64 ll;
#else 
	typedef long long ll;
#endif


int n;
vector<int> d;
vector<int> s;
bool input(){
	cin>>n;
	if(n==0)return false;
	d=vector<int>(n);
	s=vector<int>(n);
	rep(i,n){
		cin>>d[i]>>s[i];
	}
	return true;
}

typedef pair<ll,ll> pll;


ll gcd(ll a, ll b){
	if(a<b)swap(a,b);
	
	while(1){
		ll c = a%b;
		if(c==0)return b;
		a = b;
		b = c;
	}
	return -1;
}
pll tubun(pll a){
	ll gc = gcd(a.first, a.second);
	a.first/=gc;
	a.second/=gc;
	return a;
}
ll lcm(ll a, ll b, ll c, ll d){
	pll tes1 = tubun(pll(a,b));
	pll tes2 = tubun(pll(c,d));
	
	a = tes1.first;  b = tes1.second;
	c = tes2.first;  d = tes2.second;
	
	
	ll bunbo = b*d;
	ll A = a*d;
	ll B = b*c;
	ll C = gcd(A,B);
	ll bunshi = A/C * B/C * C;
	
	return bunshi/bunbo;
}

const int N = 10;

vector<int> solve(){
	vector<int> ret;
	
	rep(i,n){
		pll hoge = tubun(pll(d[i],s[i]));
		d[i] = hoge.first;
		s[i] = hoge.second;
	}
	
	ll mygcd = gcd(s[0],s[1]);
	
	
	reps(i,2,n){
		mygcd = gcd(mygcd, s[i]);
	}
	rep(i,n)s[i]/=mygcd;
	
	ll mylcm = lcm(d[0],s[0],d[1],s[1]);
	reps(i,2,n){
		mylcm = lcm(mylcm, 1, d[i], s[i]);
	}
	
	rep(i,n){
		ret.push_back((int)(mylcm/d[i]*s[i]));
	}
	
	return ret;
}

void c_solve(){
	vector<int> ans = solve();
	rep(i,ans.size())cout<<ans[i]<<endl;
}

int main(){
	while(input())c_solve();	
}

C++: #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;
		//for(ll i = 0; i < n; i++){
		//	allv*=vs[i];
		//}

		//for(ll i = 0; i < n; i++){
		//	nums[i]=ds[i]*allv/vs[i];
		//	z=lcm(z,nums[i]);
		//}
		//for(ll i = 0; i < n; i++){
		//	cout<<(z/nums[i])<<endl;
		//}
		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{
				z=lcm(z,r1*ds[i-1]/vs[i-1]);
				same=false;
			}
		}
		vector<ll> vll;
		ll m;
		if(!same){
			for(ll i = 0; i < n; i++){
				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]);
				}
			}
			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;
}

C++: // siquareさんのを参考
// http://siquare.hatenablog.com/entry/2012/04/21/121224
#include <iostream>
#include <cstring>
#include <algorithm>

using namespace std;

typedef long long ll;

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

int main()
{
    int n;

    while (cin >> n, n) {
        ll d[n], v[n];

        for (int i = 0; i < n; ++i) {
            cin >> d[i] >> v[i];
            int gd = __gcd(d[i], v[i]);
            d[i] /= gd;
            v[i] /= gd;
        }

        ll gv = __gcd(v[0], v[1]), ld = lcm(d[0], d[1]);
        for (int i = 2; i < n; ++i) {
            gv = __gcd(gv, v[i]);
            ld = lcm(ld, d[i]);
        }

        for (int i = 0; i < n; ++i)
            cout << ld * v[i] / gv / d[i] << endl;
    }

    return 0;
}

C++: #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;

void mainmain(){
	int n;
	while(cin>>n,n){
		vector<pll> v(n);
		rep(i,n) cin>>v[i].F>>v[i].S;
		ll g=v[0].S;
		rep(i,n-1){
			g=g*v[i+1].S/__gcd(g,v[i+1].S);
		}
		// cout<<"g "<<g<<endl;
		rep(i,n){
			ll t=g/v[i].S;
			v[i].F*=t;
		}
		ll e=v[0].F;
		rep(i,n-1){
			e=__gcd(e,v[i+1].F);
		}
		rep(i,n){
			v[i].F/=e;
		}
		ll f=v[0].F;
		rep(i,n-1){
			f=f/__gcd(f,v[i+1].F)*v[i+1].F;
		}
		// cout<<"f "<<f<<endl;
		rep(i,n){
			cout<<f/v[i].F<<endl;
		}
	}
}



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