It can be seen that the number, 125874, and its double, 251748, contain exactly the same digits, but in a different order.
Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits.
My solution in Ruby:
i = 1;
answer = nil;
while answer == nil
i += 1
x = i * 2
base = Array.new(x.to_s.scan(/./))
matchbase = true
for t in 3..6
break if matchbase == false
x = i * t
digits = Array.new(x.to_s.scan(/./))
digits.each { |d| matchbase = false if base.index(d) == nil }
end
answer = i if matchbase == true
end
puts "Answer: #{answer}"