#define _GLIBCXX_DEBUG #include #include #define rep(i,b) for(int i=0;i=0;i--) #define rep1(i,b) for(int i=1;i=x;i--) #define fore(i,a) for(auto i:a) #define fore1(i,a) for(auto &i:a) #define rng(x) (x).begin(), (x).end() #define rrng(x) (x).rbegin(), (x).rend() #define sz(x) ((int)(x).size()) #define pb push_back #define fi first #define se second using namespace std; using namespace atcoder; using ll = long long; template using mpq = priority_queue, greater>; template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (b ll sumv(const vector&a){ll res(0);for(auto&&x:a)res+=x;return res;} bool yn(bool a) { if(a) {cout << "Yes" << endl; return 1;} else {cout << "No" << endl; return 0;}} #define dame { cout << "No" << endl; return 0;} #define dame1 { cout << -1 << endl; return 0;} #define test(x) cout << "test" << x << endl; #define deb(x,y) cout << x << " " << y << endl; #define debp(p) cout << p.fi << " " << p.se << endl; #define deb3(x,y,z) cout << x << " " << y << " " << z << endl; #define deb4(x,y,z,x2) cout << x << " " << y << " " << z << " " << x2 << endl; #define out cout << ans << endl; #define outv fore(yans , ans) cout << yans << "\n"; #define show(x) cerr<<#x<<" = "<; using pil = pair; using pli = pair; using pii = pair; using tp = tuple; using vi = vector; using vl = vector; using vs = vector; using vb = vector; using vpii = vector; using vpli = vector; using vpll = vector; using vpil = vector; using vvi = vector>; using vvl = vector>; using vvs = vector>; using vvb = vector>; using vvpii = vector>; using vvpli = vector>; using vvpll = vector; using vvpil = vector; using mint = modint1000000007; using vm = vector; using vvm = vector>; vector dx={1,0,-1,0,1,1,-1,-1},dy={0,1,0,-1,1,-1,1,-1}; ll gcd(ll a, ll b) { return a?gcd(b%a,a):b;} ll lcm(ll a, ll b) { return a/gcd(a,b)*b;} const double eps = 1e-10; const ll LINF = 1001002003004005006ll; const int INF = 1001001001; struct rational{ ll num,den; rational(ll num_=0,ll den_=0){ if (num_ == 0){ num = 0; den = 1; }else if(den_ == 0){ num = 1; den = 0; }else{ ll d = gcd(abs(num_),abs(den_)); num = abs(num_)/d; den = abs(den_)/d; if((num_ < 0 && den_ > 0) || (num_ > 0 && den_ < 0)) num *= -1; } } rational operator+(rational const other) const{ if (den == 0 || other.den == 0) return rational(1,0); assert(abs(other.num) < LLONG_MAX/den); assert(abs(num) < LLONG_MAX/other.den); ll p,q; p = num*other.den + den*other.num; q = den*other.den; return rational(p,q); } rational operator-(rational const other) const{ if (den == 0 || other.den == 0) return rational(1,0); assert(abs(other.num) < LLONG_MAX/den); assert(abs(num) < LLONG_MAX/other.den); ll p,q; p = num*other.den - den*other.num; q = den*other.den; return rational(p,q); } rational operator*(rational const other) const{ if (den == 0 || other.den == 0) return rational(1,0); if (other.num == 0) return rational(num,den); assert(abs(num) < LLONG_MAX/abs(other.num)); assert(other.den < LLONG_MAX/den); ll p,q; p = num*other.num; q = den*other.den; return rational(p,q); } rational operator/(rational const other) const{ rational r(other.den , other.num); return *this * r; } rational operator+=(rational const other){ *this = *this + other; return *this; } rational operator-=(rational const other){ *this = *this - other; return *this; } rational operator*=(rational const other){ *this = *this * other; return *this; } rational operator/=(rational const other){ *this = *this / other; return *this; } bool operator>(rational const other) const{ if (den == 0){ if (other.den == 0) return false; else return true; }else if(other.den == 0){ return false; } assert(abs(num) < LLONG_MAX/other.den); assert(abs(other.num) < LLONG_MAX/den); return num*other.den > den*other.num; } bool operator<(rational const other) const{ if (den == 0){ if (other.den == 0) return false; else return false; }else if(other.den == 0){ return true; } assert(abs(num) < LLONG_MAX/other.den); assert(abs(other.num) < LLONG_MAX/den); return num*other.den < den*other.num; } bool operator>=(rational const other) const{ if (den == 0){ if (other.den == 0) return true; else return true; }else if(other.den == 0){ return false; } assert(abs(num) < LLONG_MAX/other.den); assert(abs(other.num) < LLONG_MAX/den); return num*other.den >= den*other.num; } bool operator<=(rational const other) const{ if (den == 0){ if (other.den == 0) return true; else return false; }else if(other.den == 0){ return true; } assert(abs(num) < LLONG_MAX/other.den); assert(abs(other.num) < LLONG_MAX/den); return num*other.den <= den*other.num; } bool operator==(rational const other) const{ return (num == other.num) && (den == other.den); } bool operator!=(rational const other) const{ return (num != other.num) || (den != other.den); } }; // rational(a,b) でa/bを既約分数の状態で管理。a,bは共に64bit型整数であるが、四足演算にてa*b >= LLONG_MAX となる場合には警告が出る。 // a*b < 0の時、a<0 , b>0で管理。 // a == 0 の時 (0,1)、b == 0 の時 (1,0)で管理。 int main(){ int n; cin>>n; vector> v(n); vl a(n),b(n); rep(i,n) cin>>a[i]; rep(i,n) cin>>b[i],b[i]--; rep(i,n){ ll d = gcd(a[i],b[i]); v[i] = {rational(b[i] ,a[i]) , d}; } sort(rrng(v)); mint ans = 0; mint now = 1; rep(i,n){ ans += now * v[i].fi.den * v[i].se; now *= (v[i].fi.num * v[i].se+1); // cout << ans.val() << " " << now.val() << endl; } cout << ans.val() << endl; return 0; // 消せ!!!!!! #define _GLIBCXX_DEBUG }