#!/usr/bin/ python3.8 import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines import numpy as np MOD = 10 ** 9 + 7 def cumprod(A, MOD=MOD): L = len(A) Lsq = int(L**.5 + 1) A = np.resize(A, Lsq**2).reshape(Lsq, Lsq) for n in range(1, Lsq): A[:, n] *= A[:, n - 1] A[:, n] %= MOD for n in range(1, Lsq): A[n] *= A[n - 1, -1] A[n] %= MOD return A.ravel()[:L] def make_fact(U, MOD=MOD): x = np.arange(U, dtype=np.int64) x[0] = 1 fact = cumprod(x, MOD) x = np.arange(U, 0, -1, dtype=np.int64) x[0] = pow(int(fact[-1]), MOD - 2, MOD) fact_inv = cumprod(x, MOD)[::-1] fact.flags.writeable = False fact_inv.flags.writeable = False return fact, fact_inv K = int(readline()) C = np.array(read().split(), np.int64) N = C.sum() D = np.gcd.reduce(C) x = np.arange(1, 1100) div = x[D % x == 0] div = np.union1d(div, D // div) fact, fact_inv = make_fact(N + 1) def f(d): num = fact[N // d] den = cumprod(fact_inv[C // d])[-1] return num * den % MOD dp = {d: f(d) for d in div} keys = sorted(div, reverse=True) for d in keys: x = dp[d] for e in keys: if e <= d or e % d != 0: continue x -= dp[e] dp[d] = x answer = sum(k * v for k, v in dp.items()) % MOD answer *= pow(int(N), MOD - 2, MOD) answer %= MOD print(answer)