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一道ACM题目(解释一下题意)

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一道ACM题目(解释一下题意)
http://acm.hrbeu.edu.cn/index.php?act=problem&proid=6060
主要是这段话不理解:
Factorials grow very rapidly--5! = 120, 10! = 3,628,800. One way of specifying such large numbers is by specifying the number of times each prime number occurs in it, thus 825 could be specified as (0 1 2 0 1) meaning no twos, 1 three, 2 fives, no sevens and 1 eleven.
一道ACM题目(解释一下题意)
阶乘n!增长很快——5!= 120,10!= 3,628,800.
一种方法是用质因数的次数来说明这样大的数.
2 3 5 7 11
↑↑↑↑↑
(0 1 2 0 1)
825=3*5*5*11