Add Haskell solutions for Problems 1, 2, 3

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2024-03-29 11:50:11 +01:00
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Haskell/p003.hs Normal file
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-- The prime factors of 13195 are 5, 7, 13 and 29. --
-- What is the largest prime factor of the number 600851475143?
isPrime :: (Integral n) => n -> Bool
isPrime 1 = False
isPrime 2 = True
isPrime 3 = True
isPrime n =
n `mod` 2 /= 0 && n `mod` 3 /= 0 && null [ x | x <- candidates, n `mod` x == 0 || n `mod` (x+2) == 0 ]
where candidates = [5,11..limit]
limit = floor(sqrt(fromIntegral n)) + 1
maxPrimeFactor :: (Integral n) => n -> n
maxPrimeFactor n
| isPrime n = n
| n `mod` 2 == 0 = maxPrimeFactor $ fromIntegral n `div` 2
| otherwise = maxPrimeFactor $ fromIntegral n `div` head [i | i <- [3,5..], n `mod` i == 0 && isPrime i]
main :: IO ()
main = do
let result = maxPrimeFactor 600851475143
putStrLn $ "Project Euler, Problem 3\n"
++ "Answer: " ++ (show result)