Lines of 解法参考/MH-20210116.md from check-in 6a4a8a79e5 that are changed by the sequence of edits moving toward check-in 155e05e63e:
1: % MH-20210116
2:
3: # 原解
4:
5: ~~~
6: 1 * 5 = 5
7:
8: 2 * 4 = 8
9:
10: 3 * 3 = 9
11: ~~~
12:
13: # 衍生
14:
15: ## 问
16:
17: 给定一个由数个小正整数累加起来的大正整数,问这些小正整数的值为多少才能让这些小正整数的累乘值最大
18:
19: ### 答
20:
21: 非 3 即 2
22:
23: ### 解
24:
25: 可能的值有 1 ~ 正无穷
26:
27: 由指数爆炸性可知,只需要考虑 2 3 4
28:
29: 取 2 3 4 的最小公倍数 12
30:
31: 拆分 12 可得
32:
33: ~~~
34: 2 ^ 6 = 64
35:
36: 3 ^ 4 = 81
37:
38: 4 ^ 3 = 64
39: ~~~
40:
41: 至此,4 被淘汰
42:
43: 最优解为 3
44:
6a4a8a79e5 2023-09-15 45: 但考虑到有些整数不能被 3 整数,故也需要 2
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