#include <bits/stdc++.h>

#define clr(x) memset((x), 0, sizeof(x))
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define mp make_pair
#define x first
#define y second
#define forn(i, n) for(int i = 0; i < (int)(n); ++i)
#define ford(i, n) for(int i = (int)(n) - 1; i >= 0; --i)
#define for1(i, n) for(int i = 1; i <= (int)(n); ++i)

using namespace std;

typedef vector<int> vi;
typedef pair<int, int> pii;
typedef vector<long long> vll;
typedef long double ld;
typedef long long ll;
typedef unsigned long long ull;
typedef int itn;

const ld PI = 3.1415926535897932384626433832795L;

template<class T>
bool uin(T &, const T &);

template<class T>
bool uax(T &, const T &);

template<class T>
T gcd(T, T);

template<class T>
T lcm(T, T);

template<class _T>
inline string tostr(const _T &);

template<typename T>
void input(T &);

template<typename T = long long>
T nxt();

bool checkp(long long);

template<typename T>
T pw(T a, T n, T p);

template<typename T>
T inv(T a, T p);

void pre() {

}


void solve(int test) {
    int n = nxt();

    ll A, T;
    forn(i, n) {
        if (i == 0) {
            T = nxt();
            A = nxt();
        } else {
            ll T1, A1;
            ll x = nxt();
            ll y = nxt();
            //T1 = x * p
            //A1 = y * p

            //T1 >= T
            //A1 >= A

            //p >= T / x;
            //p >= A / y

            ll P = max((T + x - 1) / x, (A + y - 1) / y);

            T = x * P;
            A = y * P;
        }
    }

    cout << A + T << "\n";
}


int main(int argc, char **argv) {
#ifdef LOCAL
    freopen("input.txt", "r", stdin);
//    freopen("output.txt", "w", stdout);
#else
    #define fname "sequence"
    //freopen(fname".in", "r", stdin);
    //freopen(fname".out", "w", stdout);
#endif
    pre();
    int t = 1;// nxt();
#ifdef LOCAL
#else
#endif
    for (int test = 1; test <= t; ++test) {
        solve(test);
    }

#ifdef LOCAL
    cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC * 1000 << " ms." << endl;
#endif
    return 0;
}


template<typename T>
T gcd(T x, T y) {
    while (y > 0) {
        x %= y;
        swap(x, y);
    }
    return x;
}

template<class T>
T lcm(T a, T b) {
    return a / gcd(a, b) * b;
}


template<class _T>
inline _T sqr(const _T &x) {
    return x * x;
}

template<class _T>
inline string tostr(const _T &a) {
    ostringstream os("");
    os << a;
    return os.str();
}


template<typename T>
inline void input(T &a) {
    static int ed;
    a = 0;
    while (!isdigit(ed = getchar()) && ed != '-') {}
    char neg = 0;
    if (ed == '-') {
        neg = 1;
        ed = getchar();
    }
    while (isdigit(ed)) {
        a = 10 * a + ed - '0';
        ed = getchar();
    }
    if (neg) a = -a;
}

template<typename T = long long>
inline T nxt() {
    T res;
    input(res);
    return res;
}

void myassert(bool v) {
    assert(v);
//cout << "FAIL\n";
//exit(0);
}

mt19937 generator;

bool checkp(long long v) {
    if (v < 2) return false;
    for (long long i = 2; i * i <= v; ++i) {
        if (v % i == 0) {
            return false;
        }
    }
    return true;
}

template<typename T>
T pw(T a, T n, T m) {
    T res = 1;
    while (n) {
        if (n & 1) {
            res = res * a % m;
        }
        a = a * a % m;
        n >>= 1;
    }
    return res;
}

template<typename T>
T inv(T a, T p) {
    T res = 1;
    while (a > 1) {
        res = res * (p - p / a) % p;
        a = p % a;
    }
    return res;
}


template<class T>
bool uin(T &a, const T &b) {
    if (b < a) {
        a = b;
        return true;
    }
    return false;
}

template<class T>
bool uax(T &a, const T &b) {
    if (b > a) {
        a = b;
        return true;
    }
    return false;
}

Measured memory_bytes: 256