#pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC push_options #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx") #include #include #include using namespace::std; __attribute__((constructor))void init(){cin.tie(0);ios::sync_with_stdio(false);cout< #include #include #include // #include // #include // namespace mp = boost::multiprecision; // typedef mp::number> cdouble; // typedef mp::cpp_int cint; templateusing pbds=__gnu_pbds::tree,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>; templateusing pbds_map=__gnu_pbds::tree,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>; templateusing hash_map=__gnu_pbds::gp_hash_table; templateusing pqueue =__gnu_pbds::priority_queue,__gnu_pbds::rc_binomial_heap_tag>; typedef long long lint; #define INF (1LL<<60) #define IINF (1<<30) #define LINF (9223372036854775807LL) #define EPS (1e-10) #define endl ('\n') #define MOD 1000000007LL //#define MOD 998244353LL //#define MOD 18446744069414584321ULL typedef vector vec; typedef vector> mat; typedef vector>> mat3; typedef vector svec; typedef vector> smat; templateinline void numout(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<inline void numout2(T t){for(auto i:t)numout(i);} templateinline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<inline void output2(T t){for(auto i:t)output(i);} templateinline void _output(T t){bool f=0;for(lint i=0;iinline void _output2(T t){for(lint i=0;i=lint(a);--i) #define irep(i) for(lint i=0;;++i) inline vector range(int64_t n){vectorv(n);iota(v.begin(),v.end(),0LL);return v;} inline vector range(int64_t a,int64_t b){vectorv(b-a);iota(v.begin(),v.end(),a);return v;} inline vector range(int64_t a,int64_t b,int64_t c){vectorv((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;} inline auto reversed(auto v){reverse(v.begin(),v.end());return v;} #define all(n) begin(n),end(n) #define dist(a,b,c,d) sqrt(pow(a-c,2)+pow(b-d,2)) //inline lint gcd(lint A,lint B){return B?gcd(B,A%B):A;} //inline lint lcm(lint A,lint B){return A/gcd(A,B)*B;} // inline cint cgcd(cint A,cint B){return B?cgcd(B,A%B):A;} // inline cint clcm(cint A,cint B){return A/cgcd(A,B)*B;} bool chmin(auto& s,const auto& t){bool res=s>t;s=min(s,t);return res;} bool chmax(auto& s,const auto& t){bool res=s dx={1,0,-1,0,1,1,-1,-1}; const vector dy={0,1,0,-1,1,-1,1,-1}; #define SUM(v) accumulate(all(v),0LL) auto call=[](auto f,auto... args){return f(f,args...);}; templateauto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector(arg,x);else return vector(arg,make_vector(x,args...));} class mint { using u64 = std::uint_fast64_t; public: u64 a; constexpr mint(const long long x = 0)noexcept:a(x>=0?x%get_mod():get_mod()-(-x)%get_mod()){} constexpr u64 &value()noexcept{return a;} constexpr const u64 &value() const noexcept {return a;} constexpr mint operator+(const mint rhs)const noexcept{return mint(*this) += rhs;} constexpr mint operator-(const mint rhs)const noexcept{return mint(*this)-=rhs;} constexpr mint operator*(const mint rhs) const noexcept {return mint(*this) *= rhs;} constexpr mint operator/(const mint rhs) const noexcept {return mint(*this) /= rhs;} constexpr mint &operator+=(const mint rhs) noexcept { a += rhs.a; if (a >= get_mod())a -= get_mod(); return *this; } constexpr mint &operator-=(const mint rhs) noexcept { if (a= get_mod())a -= get_mod(); return *this; } constexpr mint operator--(int n) noexcept { if (a<1)a += get_mod(); a -= 1; return *this; } constexpr mint &operator/=(mint rhs) noexcept { u64 exp=get_mod()-2; while (exp) { if (exp % 2) { *this *= rhs; } rhs *= rhs; exp /= 2; } return *this; } constexpr bool operator==(mint x) noexcept { return a==x.a; } constexpr bool operator!=(mint x) noexcept { return a!=x.a; } constexpr bool operator<(mint x) noexcept { return a(mint x) noexcept { return a>x.a; } constexpr bool operator<=(mint x) noexcept { return a<=x.a; } constexpr bool operator>=(mint x) noexcept { return a>=x.a; } constexpr static int root(){ mint root = 2; while(root.pow((get_mod()-1)>>1).a==1)root++; return root.a; } constexpr mint pow(long long n){ long long x=a; mint ret = 1; while(n>0) { if(n&1)(ret*=x); (x*=x)%=get_mod(); n>>=1; } return ret; } constexpr mint inv(){ return pow(get_mod()-2); } static vector fac,ifac; static bool init; constexpr static int mx=10000001; void build(){ init=0; fac.resize(mx); ifac.resize(mx); fac[0]=1,ifac[0]=1; for(int i=1;i=0;i--)ifac[i]=ifac[i+1]*(i+1); } mint comb(lint b){ if(init)build(); if(a==0&&b==0)return 1; if((lint)a>(istream& lhs,mint& rhs) noexcept { lhs >> rhs.a; return lhs; } constexpr static u64 get_mod(){return MOD;} }; vector mint::fac; vector mint::ifac; bool mint::init=1; int64_t euler_phi(int64_t n) { int64_t ret = n; for(int64_t i = 2; i * i <= n; i++) { if(n % i == 0) { ret -= ret / i; while(n % i == 0) n /= i; } } if(n > 1) ret -= ret / n; return ret; } vector prime_factor(lint n) { vectorret; for(lint i=2;i*i<=n;i++){ if(n%i==0)ret.push_back(i); while(n%i==0)n/=i; } if(n!=1)ret.push_back(n); return ret; } int main(){ lint n,m; cin>>n>>m; assert(1<=n&&n<=4000); assert(1<=m&&m<=4000); vec a(n),b(m); rep(i,n)cin>>a[i]; rep(i,m)cin>>b[i]; rep(i,n)assert(1<=a[i]&&a[i]<=100'000'000); rep(i,m)assert(1<=b[i]&&b[i]<=100'000'000); maps,t,phi; rep(i,n){ auto d=prime_factor(a[i]); for(int j=1;j*j<=a[i];j++){ if(a[i]%j)continue; s[j]++; if(!phi.count(j)){ phi[j]=j; for(auto e:d){ if(j%e==0)phi[j]-=phi[j]/e; } } if(j*j==a[i])continue; s[a[i]/j]++; if(!phi.count(a[i]/j)){ phi[a[i]/j]=a[i]/j; for(auto e:d){ if((a[i]/j)%e==0)phi[a[i]/j]-=phi[a[i]/j]/e; } } } } rep(i,m)for(int j=1;j*j<=b[i];j++){ if(b[i]%j)continue; t[j]++; if(j*j!=b[i])t[b[i]/j]++; } for(auto e:s)s[e.first]*=t[e.first]; mint ans=mint(SUM(a)-n)*mint(SUM(b)+m)+n*m; for(auto e:s){ if(e.second)ans+=mint(e.second)*phi[e.first]; } cout<