def prime_factor(n)
	res = Hash.new(0)
	i = 2
	while i * i <= n do
		while n % i == 0 do
			res[i] += 1
			n /= i
		end
		i += 1
	end
	res[n] += 1 if n != 1
	res
end
def prime?(n)
	i = 2
	while i * i <= n do
		return false if n % i == 0
		i += 1
	end
	n != 1
end

T = gets.to_i

X = []
T.times {
	X << gets.to_i
}

ans = []

X.each {|x|
	f = prime_factor(x)
	i = 2
	while not prime?(i) or f.include?(i) do
		i += 1
	end
	a = [i]
	f.each {|k, v|
		a << k**(v+1)
	}
	ans << x * a.min
}

puts ans