数学 CF1068B LCM

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CF1068B LCM 给定一个正整数\(b (1\leq b \leq 10^{10})\). 把一个正整数a从1枚举到\(10^{18}\),求有多少种不同的\(\large \frac{[a,b]}{a}\). 分析: \[ (a,b)*[a,b]=a*b\\-->\frac{[a,b]}{a}=\frac{b}{(a,b)} \] b是不变的,那么答案就是\(\frac{b}{(a,b)}\)的个数,又又因为b不变,答案就是\((a,b)\)的个数,又又又因为b不变,答案就是b的因子…

一筐鸡蛋的lcm

问题一筐鸡蛋,一个一个取正好取完,两个两个取剩下一个,三个三个取正好取完,四个四个取剩下一个,五个五个取少一个,六个六个取剩下三个,七个七个取正好取完,八个八个取剩下一个,九个九个取正好取完,共多少鸡蛋. 数学解法第五个条件特殊,可以改为:五个五个取剩四个. 数学符号 lcm(a,b,...,c)=x 最小公约数x mod y = z 余数数学描述 x mod 1 = 0 x mod 2 = 1 x mod 3 = 0 x mod 4 = 1 x mod 5 = 4 x mod 6 = 3…

【CF1068B】LCM（数学）

题意:给定b,求lcm(a,b)/a有几种不同的取值 b<=1e10 思路:只有a取b的因子时答案两两不同 #include<cstdio> #include<cstring> #include<string> #include<cmath> #include<iostream> #include<algorithm> #include<map> #include<set> #include<que…

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