#include namespace { #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic pop using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; constexpr int MX = 100010; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; VI a(n); VVI vals(MX); rep(i, n) { cin >> a[i]; vals[a[i]].emplace_back(i); } ll ans = 0; dsu uf(n); constexpr ll INF = 1002003004005006007; vector>> mns; while(true) { auto gs = uf.groups(); if (gs.size() == 1) break; mns.assign(n, {INF, {-1, -1}}); for(int g = 1; g < MX; g++) { int i1 = -1; int li1 = -1; int v = -1; for(int x = g; x < MX; x += g) { for(int i: vals[x]) { if (i1 == -1) { i1 = i; li1 = uf.leader(i1); v = a[i1] / g; } else if (int li = uf.leader(i); li != li1) { ll cost = (ll)v * a[i]; if (cost < mns[li1].first) { mns[li1] = {cost, {i1, i}}; } if (cost < mns[li].first) { mns[li] = {cost, {i1, i}}; } } } } } rep(l, n) if (mns[l].first != INF) { auto [cost, ij] = mns[l]; auto [i, j] = ij; if (!uf.same(i, j)) { ans += cost; uf.merge(i, j); } } } cout << ans << endl; }