Lines of 解法参考/MH-20210116.md from check-in ebdeddb639 that are changed by the sequence of edits moving toward check-in d975a7f729:
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: 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
16:
17: 非 3 即 2
18:
ebdeddb639 2023-09-15 19: 解法:
20:
21: 可能的值有 1 ~ 正无穷
22:
23: 由指数爆炸性可知,只需要考虑 2 3 4
24:
25: 取 2 3 4 的最小公倍数 12
26:
27: 拆分 12 可得
28:
29: ~~~
30: 2 ^ 6 = 64
31:
32: 3 ^ 4 = 81
33:
34: 4 ^ 3 = 48
35: ~~~
36:
37: 至此,4 被淘汰
38:
39: 最优解为 3
40:
41: 但考虑到有些整数不能被 3 整数,故也需要 2
42: