#include using namespace std; typedef long long ll; typedef vector VI; typedef vector VVI; #define ITER(c) __typeof__((c).begin()) #define FOREACH(it, c) for (ITER(c) it=(c).begin(); it != (c).end(); ++it) #define REP(i, n) for(int(i)=0;(i)<(n);++(i)) #define RREP(i, n) for(int(i)=(n)-1;(i)>=0;--(i)) const int MOD = (int)1e9+7; ll extgcd(ll a,ll b,ll &m,ll &n){ll g=a;m=1;n=0;if(b)g=extgcd(b,a%b,n,m),n-=(a/b)*m;return g;} ll divmod(ll n,ll m,ll mod){ll a,b;extgcd(m,mod,a,b);return((n*a)%mod+mod)%mod;} ll fact[2000001], factinv[2000001]; void factmod(int n){ fact[0]=fact[1]=1; for(int i=2;i<=n;i++)fact[i]=(fact[i-1]*i)%MOD; factinv[n]=divmod(1,fact[n],MOD); //inv for(int i=n;i>=0;i--)factinv[i-1]=(factinv[i]*i)%MOD; } int A[111111]; int cnt[1100000]; ll gcd(ll n, ll m){return m?gcd(m,n%m):n;} int main(){ int K; cin >> K; int sum = 0, g = 0; REP(i,K){ cin >> A[i]; g = gcd(g,A[i]); sum += A[i]; } factmod(1100000); REP(i,sum) cnt[sum/gcd(sum,i)]++; ll res = 0; REP(i,sum+1){ if(cnt[i] && g % i == 0){ ll add = cnt[i] * fact[sum/i] % MOD; REP(j,K){ add = (add * factinv[A[j]/i]) % MOD; } res = (res + add) % MOD; } } cout << divmod(res,sum,MOD) << endl; }