from collections import defaultdict

def factorize(n):
    factors = []
    
    for i in range(2, int(n**0.5)+1):
        cnt = 0
        
        while n%i==0:
            n //= i
            cnt += 1
    
        if cnt>0:
            factors.append((i, cnt))
    
    if n>1:
        factors.append((n, 1))
    
    return factors

N, K = map(int, input().split())
a = list(map(int, input().split()))
MOD = 10**9+7
d = defaultdict(list)

for ai in a:
    factors = factorize(ai)
    
    for v, c in factors:
        d[v].append(c)

ans = 1

for v in d.keys():
    d[v].sort(reverse=True)
    
    if len(d[v])<K:
        ans *= pow(v, sum(d[v]), MOD)
    else:
        ans *= pow(v, sum(d[v][:K]), MOD)
    
    ans %= MOD

print(ans)