n = int(input())
a = list(map(int, input().split()))
LIMIT = 10 ** 9
MOD = 10 ** 9 + 7


# 区間[l, r)を考えつつつ、lとrを尺取りする
r = 0
ru_val = 1
ptn_val = 1
ans = 1
for l in range(n):
    if l > 0:
        ru_val //= a[l - 1]
        ptn_val *= pow(pow(a[l - 1], (r - (l - 1)), MOD), MOD - 2, MOD)
        ptn_val %= MOD
    while r < n and  ru_val * a[r] < LIMIT:
        ru_val *= a[r]
        ptn_val *= ru_val
        ptn_val %= MOD
        r += 1
    ans *= ptn_val
    ans %= MOD
print(ans)