On Jul 13, 1:16 am, Christian Marks <9fv...@gmail.com> wrote:
> Thank you. Based on this I've simplified the code further.

You could combine the test for a cycle leader
with the cycle length count--but your original
code, which calculates cycle lengths only if
a cycle leader is identified, is more efficient!

> (ns knuth
>     (:require [clojure.contrib.math :as math]))
>
> (defn random-perm [n]  (shuffle (range n)))
>
 (defn cycle-leader-length [perm i]
         (loop [cycle 1 j (nth perm i)]
                 (cond (< j i) 1
                       (= j i) cycle
                       :else     (recur (inc cycle) (nth perm j)))))

(defn order-perm [perm]   (reduce  (fn [order i]  (math/lcm (cycle-
leader-length perm i) order)) 1 perm))

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