#line 1 "library/Template/template.hpp" #include <bits/stdc++.h> using namespace std; #define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++) #define ALL(v) (v).begin(),(v).end() using ll=long long int; const int inf = 0x3fffffff; const ll INF = 0x1fffffffffffffff; template<typename T>inline bool chmax(T& a,T b){if(a<b){a=b;return 1;}return 0;} template<typename T>inline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;} #line 2 "library/Utility/fastio.hpp" #include <unistd.h> class FastIO{ static constexpr int L=1<<16; char rdbuf[L]; int rdLeft=0,rdRight=0; inline void reload(){ int len=rdRight-rdLeft; memmove(rdbuf,rdbuf+rdLeft,len); rdLeft=0,rdRight=len; rdRight+=fread(rdbuf+len,1,L-len,stdin); } inline bool skip(){ for(;;){ while(rdLeft!=rdRight and rdbuf[rdLeft]<=' ')rdLeft++; if(rdLeft==rdRight){ reload(); if(rdLeft==rdRight)return false; } else break; } return true; } template<typename T,enable_if_t<is_integral<T>::value,int> =0>inline bool _read(T& x){ if(!skip())return false; if(rdLeft+20>=rdRight)reload(); bool neg=false; if(rdbuf[rdLeft]=='-'){ neg=true; rdLeft++; } x=0; while(rdbuf[rdLeft]>='0' and rdLeft<rdRight){ x=x*10+(neg?-(rdbuf[rdLeft++]^48):(rdbuf[rdLeft++]^48)); } return true; } template<typename T,enable_if_t<is_floating_point<T>::value,int> =0>inline bool _read(T& x){ if(!skip())return false; if(rdLeft+20>=rdRight)reload(); bool neg=false; if(rdbuf[rdLeft]=='-'){ neg=true; rdLeft++; } x=0; while(rdbuf[rdLeft]>='0' and rdbuf[rdLeft]<='9' and rdLeft<rdRight){ x=x*10+(rdbuf[rdLeft++]^48); } if(rdbuf[rdLeft]!='.')return true; rdLeft++; T base=.1; while(rdbuf[rdLeft]>='0' and rdbuf[rdLeft]<='9' and rdLeft<rdRight){ x+=base*(rdbuf[rdLeft++]^48); base*=.1; } if(neg)x=-x; return true; } inline bool _read(char& x){ if(!skip())return false; if(rdLeft+1>=rdRight)reload(); x=rdbuf[rdLeft++]; return true; } inline bool _read(string& x){ if(!skip())return false; for(;;){ int pos=rdLeft; while(pos<rdRight and rdbuf[pos]>' ')pos++; x.append(rdbuf+rdLeft,pos-rdLeft); if(rdLeft==pos)break; rdLeft=pos; if(rdLeft==rdRight)reload(); else break; } return true; } template<typename T>inline bool _read(vector<T>& v){ for(auto& x:v){ if(!_read(x))return false; } return true; } char wtbuf[L],tmp[50]; int wtRight=0; inline void flush(){ fwrite(wtbuf,1,wtRight,stdout); wtRight=0; } inline void _write(const char& x){ if(wtRight>L-32)flush(); wtbuf[wtRight++]=x; } inline void _write(const string& x){ for(auto& c:x)_write(c); } template<typename T,enable_if_t<is_integral<T>::value,int> =0>inline void _write(T x){ if(wtRight>L-32)flush(); if(x==0){ _write('0'); return; } else if(x<0){ _write('-'); if (__builtin_expect(x == std::numeric_limits<T>::min(), 0)) { switch (sizeof(x)) { case 2: _write("32768"); return; case 4: _write("2147483648"); return; case 8: _write("9223372036854775808"); return; } } x=-x; } int pos=0; while(x!=0){ tmp[pos++]=char((x%10)|48); x/=10; } rep(i,0,pos)wtbuf[wtRight+i]=tmp[pos-1-i]; wtRight+=pos; } template<typename T>inline void _write(const vector<T>& v){ rep(i,0,v.size()){ if(i)_write(' '); _write(v[i]); } } public: FastIO(){} ~FastIO(){flush();} inline void read(){} template <typename Head, typename... Tail>inline void read(Head& head,Tail&... tail){ assert(_read(head)); read(tail...); } template<bool ln=true,bool space=false>inline void write(){if(ln)_write('\n');} template <bool ln=true,bool space=false,typename Head, typename... Tail>inline void write(const Head& head,const Tail&... tail){ if(space)_write(' '); _write(head); write<ln,true>(tail...); } }; /** * @brief Fast IO */ #line 3 "sol.cpp" FastIO io; int main(){ int n; io.read(n); vector<int> a(n); io.read(a); sort(ALL(a)); vector<int> ids[101010],gs[1010101]; rep(i,0,n){ for(int g=1;g*g<=a[i];g++)if(a[i]%g==0){ ids[g].push_back(i); gs[i].push_back(g); if(g*g!=a[i]){ ids[a[i]/g].push_back(i); gs[i].push_back(a[i]/g); } } } rep(g,0,100010)reverse(ALL(ids[g])); using P=pair<ll,int>; ll res=0; priority_queue<P,vector<P>,greater<P>> pq; pq.push({0,0}); bitset<1010101> used; rep(v,1,n)pq.push({ll(a[0])*a[v]/gcd(a[0],a[v]),v}); while(!pq.empty()){ auto [add,v]=pq.top(); pq.pop(); if(used[v])continue; res+=add; used[v]=1; for(auto& g:gs[v]){ while(ids[g].size() and used[ids[g].back()])ids[g].pop_back(); if(ids[g].empty())continue; pq.push({ll(a[v])*a[ids[g].back()]/g,ids[g].back()}); } } io.write(res); return 0; }