import sys input = lambda : sys.stdin.readline().rstrip() sys.setrecursionlimit(2*10**5+10) write = lambda x: sys.stdout.write(x+"\n") debug = lambda x: sys.stderr.write(x+"\n") writef = lambda x: print("{:.12f}".format(x)) ### 約数列挙 def fs(n): s = set() for i in range(1,int(n**0.5)+2): if n%i==0: s.add(i) s.add(n//i) l = sorted(list(s)) return l k = int(input()) c = list(map(int, input().split())) M = 10**9+7 ans = 0 size = 0 n = sum(c) from math import gcd g = c[0] for i in range(1,k): g = gcd(g, c[i]) g1 = [1] for i in range(1, n+1): g1.append(g1[-1]*i%M) f = fs(g) _inv = {} def inv(v): if v in _inv: return _inv[v] val = pow(v, M-2, M) _inv[v] = val return val for v in range(1,n+1): tmp = gcd(v,n) v = tmp d = n//v if g%d!=0: continue val = g1[v] for cc in c: val *= inv(g1[cc//d]) val %= M ans += val ans %= M # print(v, d, val) ans *= pow(n, M-2, M) print(ans%M)