题目链接:https://vjudge.net/problem/LightOJ-1282 1282 - Leading and Trailing    PDF (English) Statistics Forum Time Limit: 2 second(s) Memory Limit: 32 MB You are given two integers: n and k, your task is to find the most significant three digits, and le…

题目链接:https://cn.vjudge.net/problem/LightOJ-1282 题意 给出两个正整数n(2 ≤ n < 231), k(1 ≤ k ≤ 1e7) 计算n^k的前三位,末三位 思路 首先末三位很好算,这里就只需模算数+快速幂 然后考虑前三位的算法,这里主要问题是数据溢出(pow(n, k)计算不可行) 那么考虑把n换成浮点数,同时除掉10^m,再去pow(n, k) 我们可以通过$ 1\leq (\frac{n}{10^m})^k \leq 1000 $大概估计范围…

题目大意:求n^k的前三位数 和 后三位数. 题目思路:后三位数直接用快速幂取模就行了,前三位则有些小技巧: 对任意正数都有n=10^T(T可为小数),设T=x+y,则n=10^(x+y)=10^x*10^y,其中10^x为10的整倍数(x为整数确定数位长度),所以主要求出10^y的值. T=log10(n^k)=klog10(n),可以调用fmod函数求其小数部分即y值. #include<iostream> #include<algorithm> #include<cst…

题面 给定两个数n,k 求n^k的前三位和最后三位 Input Input starts with an integer T (≤ 1000), denoting the number of test cases. Each case starts with a line containing two integers: n (2 ≤ n < 2^31) and k (1 ≤ k ≤ 10^7). Solution 后面一问是搞笑的 前面一问? 也是搞笑的,用double除成小于1的数算就好了…

[LightOJ1282]Leading and Trailing(数论) 题面 Vjudge 给定两个数n,k 求n^k的前三位和最后三位 题解 这题..真的就是搞笑的 第二问,直接输出快速幂\(mod \ 1000\)的值,要补前导零 第一问...就是搞笑的 依旧是快速幂 但是用double来算 每次中间值只要大于1000 直接除得小于1000就行了 不会就看代码把.. 这题就是搞笑的... #include<iostream> #include<cstdio> #includ…

Leading and Trailing https://vjudge.net/contest/288520#problem/E You are given two integers: n and k, your task is to find the most significant three digits, and least significant three digits of nk. Input Input starts with an integer T (≤ 1000), den…

Leading and Trailing You are given two integers: n and k, your task is to find the most significant three digits, and least significant three digits of nk. Input Input starts with an integer T (≤ 1000), denoting the number of test cases. Each case st…

http://lightoj.com/volume_showproblem.php?problem=1282 Leading and Trailing Time Limit:2000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu Submit Status Practice LightOJ 1282 Description You are given two integers: n and k, your task is t…

Apart from the novice programmers, all others know that you can’t exactly represent numbers raised to some high power. For example, the C function pow(125456, 455) can be represented in double datatype format, but you won’t get all the digits of the…

/** 题目:E - Leading and Trailing 链接:https://vjudge.net/contest/154246#problem/E 题意:求n^k得前三位数字以及后三位数字,保证一定至少存在六位. 思路:后三位求法只要不断对1000取余就行了. 前三位求法: 对一个数x,他可以用科学计数法表示为10^r*a (r为次方,1<=a<10) 设:n^k = x = 10^r*a 两边取对数: k*log10(n) = log10(x) = r+log10(a); 令y =…