#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for(int i = a; i <= b; ++i)
#define per(i, a, b) for(int i = a; i >= b; --i)
#define I inline
#define int long long
I int mul(int a, int b, int mod){
if(b < 0) b = -b, a = -a;
int res(0);
while(b){
if(b & 1) res = (res + a) % mod;
b >>= 1;
a = (a + a) % mod;
}
return res;
}
int n;
int exgcd(int a, int b, int &x, int &y){
if(!b){ x = 1, y = 0; return a; }
int gcd = exgcd(b, a % b, y, x);
y -= a / b * x;
return gcd;
}
signed main(){
int a, b;
cin >> n;
int k1, k2, lcm(0), x, gcd;
while(n--){
cin >> a >> b;
if(!lcm){
lcm = a;
x = b;
}else{
gcd = exgcd(lcm, a, k1, k2);
int L = lcm;
lcm = lcm / gcd * a;
k1 = mul(k1, (b - x) / gcd, lcm);
x = (x + mul(k1, L, lcm)) % lcm;
}
}
if(x < 0) x += lcm;
cout << x << endl;
return 0;
}