local mce, mfl, msq, mmi, mma, mab = math.ceil, math.floor, math.sqrt, math.min, math.max, math.abs

local mod = 1000000007
local function bmul(x, y)
  local x1, y1 = mfl(x / 31623), mfl(y / 31623)
  local x0, y0 = x - x1 * 31623, y - y1 * 31623
  return (x1 * y1 * 14122 + (x1 * y0 + x0 * y1) * 31623 + x0 * y0) % mod
end

local function getprimes(x)
  local primes = {}
  local allnums = {}
  for i = 1, x do allnums[i] = true end
  for i = 2, x do
    if allnums[i] then
      table.insert(primes, i)
      local lim = mfl(x / i)
      for j = 2, lim do
        allnums[j * i] = false
      end
    end
  end
  return primes
end

local function getdivisorparts(x, primes)
  local prime_num = #primes
  local tmp = {}
  local lim = mce(msq(x))
  local primepos = 1
  local dv = primes[primepos]
  while primepos <= prime_num and dv <= lim do
    if x % dv == 0 then
      local cnt = 1
      x = x / dv
      while x % dv == 0 do
        x = x / dv
        cnt = cnt + 1
      end
      tmp[dv] = cnt
      lim = mce(msq(x))
    end
    if primepos == prime_num then break end
    primepos = primepos + 1
    dv = primes[primepos]
  end
  if x ~= 1 then
    tmp[x] = 1
  end
  return tmp
end

local primes = getprimes(33333)
local t = {}
local n, k = io.read("*n", "*n")
for i = 1, n do
  local a = io.read("*n")
  local dvp = getdivisorparts(a, primes)
  for v, c in pairs(dvp) do
    if not t[v] then
      t[v] = {}
    end
    table.insert(t[v], c)
  end
end
local ret = 1
for p, tbl in pairs(t) do
  local lim = #tbl
  if k < #tbl then
    table.sort(tbl, function(a, b) return a > b end)
    lim = k
  end
  for i = 1, lim do
    local v = tbl[i]
    for j = 1, v do
      ret = bmul(ret, p)
    end
  end
end
print(ret)