#include #include using namespace std; using namespace atcoder; istream &operator>>(istream &is, modint &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint &a) { return os << a.val(); } istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); } istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); } typedef long long ll; typedef vector> Graph; typedef pair pii; typedef pair pll; #define FOR(i,l,r) for (int i = l;i < (int)(r); i++) #define rep(i,n) for (int i = 0;i < (int)(n); i++) #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define my_sort(x) sort(x.begin(), x.end()) #define my_max(x) *max_element(all(x)) #define my_min(x) *min_element(all(x)) template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } const int INF = (1<<30) - 1; const ll LINF = (1LL<<62) - 1; const int MOD = 998244353; const int MOD2 = 1e9+7; const double PI = acos(-1); vector di = {1,0,-1,0}; vector dj = {0,1,0,-1}; #ifdef LOCAL # include # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif vector make_divisors(ll n){ vector divisors; ll i = 1; while (i * i <= n){ if (n % i == 0){ divisors.push_back(i); if (i != (n/i)) divisors.push_back(n/i); } i++; } sort(all(divisors)); return divisors; } const int M = 202020; int main(){ cin.tie(0); ios_base::sync_with_stdio(false); int N; cin >> N; vector A(N), B(N); vector AB(N); rep(i,N) { cin >> A[i] >> B[i]; AB[i] = make_pair(-A[i] * B[i], i); } sort(all(AB)); vector C(M, LINF); ll ans = 0; rep(i,N){ int idx = AB[i].second; auto gs = make_divisors(A[idx]); for(auto &g : gs){ if(C[g] != LINF){ ll lcm = A[idx] * C[g] / g; ans = max(ans, A[idx] * B[idx] / lcm); } C[g] = min(C[g], A[idx]); } } cout << ans << endl; }