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(defn divide-if-remainderless [a b] | |
(if (zero? (mod a b)) (/ a b) a )) | |
(defn divide-table-while-integer | |
([table divisor] | |
(divide-table-while-integer table divisor 0)) | |
([table divisor n] | |
(let [divided-table (map #(divide-if-remainderless % divisor) table)] | |
(if (= table divided-table) [table n] | |
(recur divided-table divisor (inc n)))))) | |
(defn lcm | |
([table] | |
(lcm table 1 [2 3 5 7 9 11 13 17 19])) | |
([table result primes] | |
(let [prime (first primes) | |
[updated-table num-divisions] (divide-table-while-integer table prime) | |
new-lcm (apply * (cons result (repeat num-divisions prime)))] | |
(if-let [rest-primes (next primes)] (lcm updated-table new-lcm rest-primes) | |
new-lcm)))) | |
(lcm (range 1 11)) |
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