#include using namespace std; const int MOD = int(1e9) + 7; const int MAXK = 1 << 17; const int MAXTOT = 1 << 20; int inv_mod(int v, int m = MOD) { int r = 1; for (int p = m - 2; p; p >>= 1) { if (p & 1) r = 1LL * r * v % m; v = 1LL * v * v % m; } return r; } int fac[MAXTOT]; int K; int C[MAXK]; int T; int G; int dp[MAXTOT]; signed main() { ios::sync_with_stdio(false); for (int i = fac[0] = 1; i < MAXTOT; ++i) { fac[i] = 1LL * fac[i - 1] * i % MOD; } cin >> K; for (int i = 0; i < K; ++i) { cin >> C[i]; T += C[i]; G = __gcd(G, C[i]); } vector periods; for (int i = 1; i * i <= G; ++i) { if (G % i != 0) continue; periods.emplace_back(T / i); if (i * i == G) break; periods.emplace_back(T / (G / i)); } sort(periods.begin(), periods.end()); int ans = 0; for (int i = 0; i < periods.size(); ++i) { int p = periods[i]; dp[p] = fac[p]; for (int j = 0; j < K; ++j) { dp[p] = 1LL * dp[p] * inv_mod(fac[C[j] / (T / p)]) % MOD; } for (int j = 0; j < i; ++j) { int q = periods[j]; if (p % q != 0) continue; (dp[p] -= dp[q]) %= MOD; } (ans += 1LL * dp[p] * inv_mod(p) % MOD) %= MOD; } if (ans < 0) ans += MOD; cout << ans << endl; return 0; }