def fact(n):
  #fact(18)=[[2, 1],[3, 2]] (18 = 2**1 * 3**2)
  arr = []
  temp = n
  for i in range(2, int(-(-n**0.5//1))+1):
    if temp%i==0:
      cnt=0
      while temp%i==0:
        cnt+=1
        temp //= i
      arr.append([i, cnt])
  if temp!=1:
    arr.append([temp, 1])
  if arr==[]:
    arr.append([n, 1])
  return arr

from collections import defaultdict
n,k=map(int,input().split())
a=list(map(int,input().split()))
d=defaultdict(list)
for i in a:
  for p,m in fact(i):
    d[p].append(m)
mod=10**9+7
ans=1
for i in d:
  x=sorted(d[i],reverse=True)
  ans*=pow(i,sum(x[:min(len(x),k)]),mod)
  ans%=mod
print(ans)