#include using namespace std; using ll = long long; int main(){ ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; constexpr int r = 1'000'000; vector tb(r + 1); vector p, cnt(r + 1), dp(r + 1, 1 << 30); for(int i = 2; i <= r; i++){ if(tb[i]) continue; p.emplace_back(i); dp[i] = 0; for(int j = 2 * i; j <= r; j += i) tb[j] = true; } for(int j = 0; p[j] <= 1000; j++){ int v = p[j] * p[j]; while(v <= r){ dp[v] = 0; tb[v] = false; v *= p[j]; } } for(int i = 2; i <= r; i++){ for(int j = 0; p[j] * i <= r; j++){ dp[p[j] * i] = min(dp[p[j] * i], dp[i] + p[j]); } } int v; for(int i = 0; i < n; i++){ cin >> v; cnt[v]++; } ll ans = 0; for(int j = 2; j <= r; j++){ if(!tb[j]) continue; int sv = 0, mx = 0; ll tot = 0; for(int i = j; i <= r; i += j){ tot += dp[i] * (ll)(cnt[i]); if(cnt[i] >= 1)mx = max(mx, dp[i]); sv += cnt[i]; } if(sv >= 2){ bool fst = true; ans += tot - mx; for(int i = j; i <= r; i += j){ if(dp[i] == mx){ cnt[i] = fst; fst = false; }else{ cnt[i] = 0; } } } } cout << ans << '\n'; }