#include #define endl '\n' using namespace std; const int maxn = 1e5 + 3; const long long inf = 1e18; int n; bool is[maxn]; long long ans; vector mins[maxn]; vector get_divisors(int x) { vector ans; for (int i = 1; i * i <= x; i++) if (x % i == 0) { ans.push_back(i); if (i * i != x) ans.push_back(x / i); } return ans; } int get_minimum(int idx) { while (!mins[idx].empty() && !is[mins[idx].back()]) mins[idx].pop_back(); return mins[idx].empty() ? -1 : mins[idx].back(); } void add_num(int x) { vector d = get_divisors(x); for (auto i: d) mins[i].push_back(x); } void read() { cin >> n; for (int i = 1; i <= n; i++) { int x; cin >> x; if (is[x]) { ans += x; continue; } is[x] = true; } } struct edge { int from, to; long long w; edge(int _from, int _to, long long _w) {from = _from, to = _to, w = _w;} bool operator < (const edge &other) const { return w > other.w; } }; void add_next(int x, int d, priority_queue &pq) { auto temp = get_minimum(d); if (temp == -1) return; pq.push(edge(x, temp, (long long)x * temp / d)); } void add_edges(int x, priority_queue &pq) { auto d = get_divisors(x); for (auto i: d) add_next(x, i, pq); } edge get_best_edge(priority_queue &pq) { for (;;) { auto e = pq.top(); pq.pop(); if (!is[e.to]) { add_next(e.from, __gcd(e.from, e.to), pq); continue; } return e; } } void solve() { int left = 0; for (int i = maxn-1; i >= 1; i--) if (is[i]) add_num(i), left++; for (int i = 1; i < maxn; i++) if (is[i]) { is[i] = false; priority_queue pq; add_edges(i, pq); left--; while (left) { auto e = get_best_edge(pq); ans += e.w; is[e.to] = false; left--; add_edges(e.from, pq); add_edges(e.to, pq); } break; } cout << ans << endl; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); read(); solve(); }