#include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; auto range(int n) { return views::iota(0, n); } template ostream& operator<<(ostream& os, const pair& p){ return os << "{" << p.first << ", " << p.second << "}"; } template ostream& operator<<(ostream& os, const vector& obj) { os << "{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const set& obj) { os << "set{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const map& obj) { os << "map{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } #ifdef ONLINE_JUDGE #define dump(expr) ; #else #define dump(expr) { cerr << "\033[33m#L" << __LINE__ << ": " << expr << "\033[39m" << endl; } #endif struct UF { vector data; UF(int n) : data(n, -1) {} int root(int x) { return data[x] < 0 ? x : data[x] = root(data[x]); } bool find(int x, int y) { return root(x) == root(y); } void uni(int x, int y) { x = root(x); y = root(y); if (x != y) { if (data[x] < data[y]) swap(x, y); data[x] += data[y]; data[y] = x; } } }; ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } ll solve() { int n; cin >> n; const int A = 100000; // const int A = 10; ll res = 0; vector exists(A + 1); for ([[maybe_unused]] int i : range(n)) { ll x; cin >> x; if (exists[x]) res += x; exists[x] = 1; } vector> buckets(A + 1); for (int g = 1; g <= A; ++g) { for (int i = g; i <= A; i += g) if (exists[i]) buckets[g].push_back(i); } // dump(buckets); vector>> edges; for (int g = 1; g <= A; ++g) if (buckets[g].size() > 1) { ll x0 = buckets[g][0]; for (ll x : buckets[g]) if (x != x0) edges.push_back({lcm(x0, x), {x0, x}}); } sort(edges.begin(), edges.end()); UF uf(A + 1); for (auto edge : edges) { ll w = edge.first; auto e = edge.second; if (!uf.find(e.first, e.second)) { res += w; uf.uni(e.first, e.second); dump(e.first << " -- " << e.second << " : " << w); } } return res; } ll brute() { int n; cin >> n; vector vs(n); for (int i : range(n)) cin >> vs[i]; UF uf(n); vector>> edges; for (int i : range(n)) for (int j : range(i)) { edges.push_back({lcm(vs[i], vs[j]), {i, j}}); } sort(edges.begin(), edges.end()); ll res = 0; for (auto edge : edges) { ll w = edge.first; auto e = edge.second; if (!uf.find(e.first, e.second)) { res += w; uf.uni(e.first, e.second); dump(vs[e.first] << " -- " << vs[e.second] << " : " << w); } } return res; } int main() { cout << fixed << setprecision(12); // cout << brute() << endl; cout << solve() << endl; }