#define _CRT_SECURE_NO_WARNINGS #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define INF ((1<<30)-1) #define rep(i,n) for(int i=0;i<(int)(n);i++) #define all(v) v.begin(),v.end() #define MOD 1000000007 long long extgcd(int a, int b, int& x, int& y) { int gcd_ = a; if (b) { gcd_ = extgcd(b, a % b, y, x); y -= a / b * x; } else { x = 1; y = 0; } return gcd_; } //逆元を計算 O(log MOD) int inv_mod(int a) { int x, y; extgcd(a, MOD, x, y); return (MOD + x % MOD) % MOD; } long long pow_mod(long long x, long long y) { int res = 1; while (y) { if (y & 1)res = (res * x) % MOD; y >>= 1; x = (x * x) % MOD; } return res; } int n; int a[100000]; int main() { ios::sync_with_stdio(0); cin.tie(0); cin >> n; rep(i, n)cin >> a[i]; long long ans = 1; long long s = a[0], sm = a[0]; int e = 1; rep(i, n) { while (e < n && s * a[e] < 1000000000) { s *= a[e]; sm *= s; sm %= MOD; e++; } ans *= sm; ans %= MOD; s /= a[i]; sm = sm * pow_mod(inv_mod(a[i]), e - i) % MOD; } cout << ans << endl; return 0; }