#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; vectora(n); long long ans = 0; rep(i, n) { cin >> a[i]; ans += a[i]; } sort(all(a)); a.erase(unique(all(a)), a.end()); vectormemo(100005, -1); rep(i, a.size()) { ans -= a[i]; memo[a[i]] = i; } vector>edge; rep2(i, 1, a.back() + 1) { vector>v; for (int j = i; j <= 100000; j += i) { if (-1 != memo[j])v.push_back({ j,memo[j] }); } if (v.size() <= 1)continue; rep2(j, 1, v.size()) { long long dist = v[0].first * v[j].first / (long long)i; edge.push_back({ dist,{v[0].second,v[j].second} }); } } dsu uf(a.size()); sort(all(edge)); rep(i, edge.size()) { long long d = edge[i].first; int x = edge[i].second.first; int y = edge[i].second.second; if (uf.same(x, y)) continue; uf.merge(x, y); ans += d; } cout << ans << endl; return 0; }