import sys
import math
import bisect
from heapq import heapify, heappop, heappush
from collections import deque, defaultdict, Counter
from functools import lru_cache
from itertools import accumulate, combinations, permutations, product

sys.setrecursionlimit(1000000)
MOD = 10 ** 9 + 7
MOD99 = 998244353

input = lambda: sys.stdin.readline().strip()
NI = lambda: int(input())
NMI = lambda: map(int, input().split())
NLI = lambda: list(NMI())
SI = lambda: input()
SMI = lambda: input().split()
SLI = lambda: list(SMI())
EI = lambda m: [NLI() for _ in range(m)]


class Comb:
    """nCrのnもrも10**7くらいまで"""

    def __init__(self, n, mod):
        self.mod = mod
        self.fac = [1] * (n + 1)
        self.inv = [1] * (n + 1)
        for i in range(1, n + 1):
            self.fac[i] = self.fac[i - 1] * i % self.mod
        self.inv[n] = pow(self.fac[n], self.mod - 2, self.mod)
        for i in range(n - 1, 0, -1):
            self.inv[i] = self.inv[i + 1] * (i + 1) % self.mod

    def C(self, n, r):
        if n < r: return 0
        if n < 0 or r < 0: return 0
        return self.fac[n] * self.inv[r] % self.mod * self.inv[n - r] % self.mod

    def P(self, n, r):
        if n < r: return 0
        if n < 0 or r < 0: return 0
        return self.fac[n] * self.inv[n - r] % self.mod

    def H(self, n, r):
        """
        n個のものから重複を許してr個取り出す
        """
        if n == r == 0:
            return 1
        return self.C(n + r - 1, r)

    def multi(self, L):
        res = self.fac[sum(L)]
        for l in L:
            res = res * self.inv[l] % self.mod
        return res


# 高速エラストテネス　sieve[n]はnの最小の素因数
def make_prime_table(n):
    sieve = list(range(n + 1))
    sieve[0] = -1
    sieve[1] = -1
    for i in range(4, n + 1, 2):
        sieve[i] = 2
    for i in range(3, int(n ** 0.5) + 1, 2):
        if sieve[i] != i:
            continue
        for j in range(i * i, n + 1, i * 2):
            if sieve[j] == j:
                sieve[j] = i
    return sieve

prime_table = make_prime_table(1000)
# 素数列挙
primes = [p for i, p in enumerate(prime_table) if i == p]

# 素因数分解　上のprime_tableと組み合わせて使う
def prime_factorize(n):
    result = []
    while n != 1:
        p = prime_table[n]
        e = 0
        while n % p == 0:
            n //= p
            e += 1
        result.append((p, e))
    return result


# Nの素因数分解を辞書で返す(単体)
def prime_fact(n):
    root = int(n**0.5) + 1
    prime_dict = {}
    for i in range(2, root):
        cnt = 0
        while n % i == 0:
            cnt += 1
            n = n // i
        if cnt:
            prime_dict[i] = cnt
    if n != 1:
        prime_dict[n] = 1
    return prime_dict

# 約数列挙（単体）
def divisors(x):
    res = set()
    for i in range(1, int(x**0.5) + 2):
        if x % i == 0:
            res.add(i)
            res.add(x//i)
    return res


def main():
    K = NI()
    C = NLI()
    G = math.gcd(*C)
    com = Comb(10**6*2, MOD)
    D = sorted(list(divisors(G)))

    S = sum(C)
    Sinv = pow(S, MOD-2, MOD)
    # 周期iの配置の数（回転無視）
    dp = [0] * (S+1)

    ans = 0
    for d in D:
        L = [c//(G//d) for c in C]
        dp[d] = com.multi(L)
        for dd in D:
            if dd < d and d % dd == 0:
                dp[d] -= dp[dd]
        ans += dp[d] * (G//d) * Sinv % MOD

    print(ans % MOD)


if __name__ == "__main__":
    main()