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27 changes: 27 additions & 0 deletions problem05.rb
Original file line number Diff line number Diff line change
@@ -0,0 +1,27 @@
def primes_up_to(num)
primes = [2]
i = 3
while i <= num
primes << i unless primes.any? {|element| i % element == 0}
i += 2
end
return primes
end


def smallest_prime_factor(num)
return 2 if num.even?
i = 3
while i <= num
return i if num%i==0
i += 2
end
end

def smallest_multiple(num)
arr = primes_up_to(num)
(2..num).to_a.each{|number| arr << smallest_prime_factor(number) unless arr.inject(:*)%number == 0}
arr.inject(:*)
end

p smallest_multiple(20)