#pragma GCC optimize("O2") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #if __cplusplus >= 202002L #include #include #include #include #include #include #else #define ssize(v) (int)(v).size() #define popcount(x) __builtin_popcountll(x) constexpr int bit_width(const unsigned int x) { return x == 0 ? 0 : ((sizeof(unsigned int) * CHAR_BIT) - __builtin_clz(x)); } constexpr int bit_width(const unsigned long long x) { return x == 0 ? 0 : ((sizeof(unsigned long long) * CHAR_BIT) - __builtin_clzll(x)); } constexpr int countr_zero(const unsigned int x) { return x == 0 ? sizeof(unsigned int) * CHAR_BIT : __builtin_ctz(x); } constexpr int countr_zero(const unsigned long long x) { return x == 0 ? sizeof(unsigned long long) * CHAR_BIT : __builtin_ctzll(x); } constexpr unsigned int bit_ceil(const unsigned int x) { return x == 0 ? 1 : (popcount(x) == 1 ? x : (1u << bit_width(x))); } constexpr unsigned long long bit_ceil(const unsigned long long x) { return x == 0 ? 1 : (popcount(x) == 1 ? x : (1ull << bit_width(x))); } #endif #define int ll #define INT128_MAX (__int128)(((unsigned __int128) 1 << ((sizeof(__int128) * __CHAR_BIT__) - 1)) - 1) #define INT128_MIN (-INT128_MAX - 1) #define clock chrono::steady_clock::now().time_since_epoch().count() #ifdef DEBUG #define dbg(x) cout << (#x) << " = " << x << '\n' #else #define dbg(x) #endif using namespace std; using ll = long long; using ull = unsigned long long; using ldb = long double; using pii = pair; using pll = pair; //#define double ldb template ostream& operator<<(ostream& os, const pair pr) { return os << pr.first << ' ' << pr.second; } template ostream& operator<<(ostream& os, const array &arr) { for(const T &X : arr) os << X << ' '; return os; } template ostream& operator<<(ostream& os, const vector &vec) { for(const T &X : vec) os << X << ' '; return os; } template ostream& operator<<(ostream& os, const set &s) { for(const T &x : s) os << x << ' '; return os; } const int C = 200000; vector Div[C + 1]; signed main() { ios::sync_with_stdio(false), cin.tie(NULL); for(int i = 1; i <= C; i++) for(int j = i; j <= C; j += i) Div[j].emplace_back(i); int n; cin >> n; vector> ab(n); for(auto &[a, b] : ab) cin >> a >> b; ranges::sort(ab); { vector> cd; for(int i = 1, p = 0; i <= n; i++) { if (i == n or ab[i - 1][0] != ab[i][0]) { for(int j = max(i - 2, p); j < i; j++) cd.push_back(ab[j]); p = i; } } ab.swap(cd); n = ssize(cd); } sort(ab.begin(), ab.end(), [](auto l, auto r) { return l[0] * l[1] < r[0] * r[1]; }); array mn; fill(mn.begin(), mn.end(), INT_MAX); int ans = 0; for(auto [a, b] : ab | views::reverse) { for(int g : Div[a]) if (mn[g] != INT_MAX) ans = max(ans, b * g / mn[g]); for(int d : Div[a]) mn[d] = min(mn[d], a); } cout << ans << '\n'; return 0; }