#include #include typedef long long int ll; typedef long long int ull; #define MP make_pair using namespace std; using namespace atcoder; typedef pair P; // const ll MOD = 998244353; const ll MOD = 1000000007; // using mint = modint998244353; using mint = modint1000000007; const double pi = 3.1415926536; const int MAX = 2000005; long long fac[MAX], finv[MAX], inv[MAX]; template using min_priority_queue = priority_queue, greater>; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll gcd(ll x, ll y) { if (y == 0) return x; else if (y > x) { return gcd (y, x); } else return gcd(x % y, y); } ll lcm(ll x, ll y) { return x / gcd(x, y) * y; } ll my_sqrt(ll x) { ll m = 0; ll M = 3000000001; while (M - m > 1) { ll now = (M + m) / 2; if (now * now <= x) { m = now; } else { M = now; } } return m; } ll keta(ll n) { ll ret = 0; while (n) { n /= 10; ret++; } return ret; } ll ceil(ll n, ll m) { // n > 0, m > 0 ll ret = n / m; if (n % m) ret++; return ret; } ll pow_ll(ll x, ll n) { if (n == 0) return 1; if (n % 2) { return pow_ll(x, n - 1) * x; } else { ll tmp = pow_ll(x, n / 2); return tmp * tmp; } } vector compress(vector v) { // [3 5 5 6 1 1 10 1] -> [1 2 2 3 0 0 4 0] vector u = v; sort(u.begin(), u.end()); u.erase(unique(u.begin(),u.end()),u.end()); map mp; for (int i = 0; i < u.size(); i++) { mp[u[i]] = i; } for (int i = 0; i < v.size(); i++) { v[i] = mp[v[i]]; } return v; } vector> e; int main() { int n; cin >> n; int a[n]; for (int i = 0; i < n; i++) { cin >> a[i]; } sort(a, a + n); vector v; ll ans = 0; v.push_back(a[0]); for (int i = 1; i < n; i++) { if (a[i] == a[i - 1]) ans += a[i]; else v.push_back(a[i]); } // v は 被りなし int m = v.size(); int id[100001]; for (int i = 0; i < 100001; i++) id[i] = -1; for (int i = 0; i < m; i++) id[v[i]] = i; for (int i = 1; i <= 100000; i++) { vector id_lis; for (int j = 1; i * j <= 100000; j++) { if (id[i * j] != -1) id_lis.push_back(id[i * j]); } for (int j = 1; j < id_lis.size(); j++) { ll cst = lcm(v[id_lis[0]], v[id_lis[j]]); e.push_back({cst, {id_lis[0], id_lis[j]}}); } } sort(e.begin(), e.end()); dsu d(m); for (auto x : e) { ll c = x.first; int U = x.second.first; int V = x.second.second; if (d.same(U, V)) ; else { d.merge(U, V); ans += c; } } cout << ans << endl; return 0; }