#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int DY4[]{1, 0, -1, 0}, DX4[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}; constexpr int DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; std::vector prime_sieve(const int n, const bool get_only_prime) { std::vector smallest_prime_factor(n + 1), prime; std::iota(smallest_prime_factor.begin(), smallest_prime_factor.end(), 0); for (int i = 2; i <= n; ++i) { if (smallest_prime_factor[i] == i) prime.emplace_back(i); for (const int p : prime) { if (i * p > n || p > smallest_prime_factor[i]) break; smallest_prime_factor[i * p] = p; } } return get_only_prime ? prime : smallest_prime_factor; } struct Divisor { const std::vector smallest_prime_factor; explicit Divisor(const int n) : smallest_prime_factor(prime_sieve(n, false)) {} std::vector query(int n) const { std::vector res{1}; while (n > 1) { const int prime_factor = smallest_prime_factor[n], d = res.size(); int tmp = 1; for (; n % prime_factor == 0; n /= prime_factor) { tmp *= prime_factor; for (int i = 0; i < d; ++i) { res.emplace_back(res[i] * tmp); } } } // std::sort(res.begin(), res.end()); return res; } }; struct UnionFind { explicit UnionFind(const int n) : data(n, -1) {} int root(const int ver) { return data[ver] < 0 ? ver : data[ver] = root(data[ver]); } bool unite(int u, int v) { u = root(u); v = root(v); if (u == v) return false; if (data[u] > data[v]) std::swap(u, v); data[u] += data[v]; data[v] = u; return true; } bool is_same(const int u, const int v) { return root(u) == root(v); } int size(const int ver) { return -data[root(ver)]; } private: std::vector data; }; int main() { constexpr int A = 100000; int n; cin >> n; vector a(n); REP(i, n) cin >> a[i]; sort(ALL(a)); ll ans = 0; FOR(i, 1, n) { if (a[i - 1] == a[i]) ans += a[i]; } a.erase(unique(ALL(a)), a.end()); n = a.size(); Divisor divisor(A); vector pos[A + 1]{}; REP(i, n) for (int j : divisor.query(a[i])) pos[j].emplace_back(i); priority_queue, vector>, greater>> que; REP(i, A + 1) { if (pos[i].size() >= 2) { reverse(pos[i].begin() + 1, pos[i].end()); que.emplace(1LL * a[pos[i].front()] * a[pos[i].back()] / i, i); } } UnionFind union_find(n); while (!que.empty()) { const int i = que.top().second; que.pop(); if (union_find.unite(pos[i].front(), pos[i].back())) ans += lcm(1LL * a[pos[i].front()], a[pos[i].back()]); pos[i].pop_back(); if (pos[i].size() >= 2) que.emplace(1LL * a[pos[i].front()] * a[pos[i].back()] / i, i); } cout << ans << '\n'; return 0; }