#include #define whlie while #define pb push_back #define eb emplace_back #define fi first #define se second #define rep(i,N) for(int i = 0; i < (N); i++) #define repr(i,N) for(int i = (N) - 1; i >= 0; i--) #define rep1(i,N) for(int i = 1; i <= (N) ; i++) #define repr1(i,N) for(int i = (N) ; i > 0 ; i--) #define each(x,v) for(auto& x : v) #define all(v) (v).begin(),(v).end() #define sz(v) ((int)(v).size()) #define ini(...) int __VA_ARGS__; in(__VA_ARGS__) #define inl(...) ll __VA_ARGS__; in(__VA_ARGS__) #define ins(...) string __VA_ARGS__; in(__VA_ARGS__) using namespace std; void solve(); using ll = long long; using vl = vector; using vi = vector; using vvi = vector< vector >; constexpr int inf = 1001001001; constexpr ll infLL = (1LL << 61) - 1; struct IoSetupNya {IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7);} } iosetupnya; template inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template ostream& operator <<(ostream& os, const pair &p) { os << p.first << " " << p.second; return os; } template istream& operator >>(istream& is, pair &p) { is >> p.first >> p.second; return is; } template ostream& operator <<(ostream& os, const vector &v) { int s = (int)v.size(); rep(i,s) os << (i ? " " : "") << v[i]; return os; } template istream& operator >>(istream& is, vector &v) { for(auto &x : v) is >> x; return is; } void in(){} template void in(T &t,U &...u){ cin >> t; in(u...);} void out(){cout << "\n";} template void out(const T &t,const U &...u){ cout << t; if(sizeof...(u)) cout << " "; out(u...);} templatevoid die(T x){out(x); exit(0);} #ifdef NyaanDebug #include "NyaanDebug.h" #define trc(...) do { cerr << #__VA_ARGS__ << " = "; dbg_out(__VA_ARGS__);} while(0) #define trca(v,N) do { cerr << #v << " = "; array_out(v , N);cout << endl;} while(0) #else #define trc(...) #define trca(...) int main(){solve();} #endif using P = pair; using vp = vector

; constexpr int MOD = /** 1000000007; //*/ 998244353; ////////// // verify // https://atcoder.jp/contests/agc038/submissions/7683063 // https://www.codechef.com/viewsolution/26767783 struct multiple_transform{ template static constexpr void zeta_transform(vector &a){ int N = a.size() - 1; vector sieve(N + 1, true); for(int p = 2; p <= N; ++p) if(sieve[p]) for(int k = N / p; k > 0; --k) sieve[k * p] = false , a[k] += a[k * p]; } template static constexpr void mobius_transform(vector &a){ int N = a.size() - 1; vector sieve(N + 1, true); for(int p = 2; p <= N; ++p) if(sieve[p]) for(int k = 1; k * p <= N; ++k) sieve[k * p] = false , a[k] -= a[k * p]; } template static constexpr void zeta_transform(map &a){ for(auto it=a.rbegin(); it!=a.rend(); it++) for(auto it2=a.rbegin(); it2!=it; it2++) if(it2->first % it->first == 0) it->second += it2->second; } template static constexpr void mobius_transform(map &a){ for(auto it=a.rbegin(); it!=a.rend(); it++) for(auto it2=a.rbegin(); it2!=it; it2++) if(it2->first % it->first == 0) it->second -= it2->second; } }; template struct F2 : bitset{ F2() : bitset(){} F2(unsigned long long n) : bitset(n){} F2(const string& s) : bitset(s){} const int msb() const{ for(int ret = wsize - 1 ; ret >= 0 ; ret-- ) if( (*this)[ret] == 1 ) return ret; return -1; } const bool operator<(const F2 &other) const{ for(int i = wsize - 1 ; i >= 0 ; i-- ) if( (*this)[i] != other[i] ) return other[i]; return true; } }; template F2 gcd(F2 x , F2 y){ if(x < y) swap(x , y); while(!y.none()){ int xm = x.msb() , ym = y.msb(); x ^= y << (xm - ym); if(x < y) swap(x , y); } return x; } using f2 = F2<64>; void solve(){ /**/ ini(N); vi v(N); in(v); f2 g; trc(g); each(x , v){ g = gcd(g , f2(x)); trc(g); } vl a(131073); each(x , v) a[x] += x; multiple_transform::zeta_transform(a); ll ans = a[1]; for(int i = 1 ; i < (1 << 17); i ++ ){ ll res = 0; for(int bit = 0; bit < 17; bit++){ if( (i >> bit) & 1 ) res ^= g.to_ullong() << bit; } if(res > 1 << 17) continue; amin(ans , (a[1] - a[res]) + a[res] / res); } out(ans); //*/ }