传送门 简单的中国剩余定理练习. 首先行数一定是$lcm$,然后只要确定最小的列数就能判定解合不合法了. 我们可以得到线性模方程组: $y \equiv 0 \pmod{a_1}$ $y+1 \equiv 0 \pmod {a_2}$ $y+2 \equiv 0 \pmod {a_3}$ $...$ $y+n \equiv 0 \pmod {a_{n+1}}$ 然后CRT搞出来一组解,暴力判判就OK了. //CF338D //by Cydiater //2017.2.20 #include &l…

主题链接:点击打开链接 特定n*m矩阵,[i,j]分值为gcd(i,j) 给定一个k长的序列,问能否匹配上 矩阵的某一行的连续k个元素 思路: 我们要求出一个解(i,j) 使得 i<=n && j<=m 此时输出 YES 对于j j % b[0] = 0 j+1 % b[1] = 0 ··· j+l % b[l] = 0 依据定理:若 a == b (mod n) => (a+c) == b+c (mod n) 所以将上式变换为 j % b[0] = 0 j % b[1]…

什么都不会只能学数论QAQ 英文原题不贴了 题意: 有一张N*M的表格,i行j列的元素是gcd(i,j)读入一个长度为k,元素大小不超过10^12的序列a[1..k],问这个序列是否在表格的某一行中出现过 1<=N,M<=10^121<=k<=10^4 恩 首先显然x=lcm(a[i]) 然后(y+i-1)%a[i]==0 即y%[i]=1-n 然后就神奇地变成了中国剩余定理 求出x和y后判无解即可,情况比较多 首先如果x和y超过n,m的范围或<0显然不对 然后注意枚举i看g…

[题目描述] 有一张N,M<=10^12的表格,i行j列的元素是gcd(i,j) 读入一个长度不超过10^4,元素不超过10^12的序列a[1..k],问是否在某一行中出现过 [题解] 要保证gcd(x,y)=a[i],显然x=lcm(a[1],a[2]……a[k]) 然后y%a[1]=0,即(y+i-1)%a[i]=0 即y%a[1]=0 y%a[2]=-1 …… y%a[n]=-(n-1) 这就转化为了中国剩余定理 求出y之后,只需验证gcd(x,y+i-1)=a[i]即可 /*******…

C. GCD Table The GCD table G of size n × n for an array of positive integers a of length n is defined by formula Let us remind you that the greatest common divisor (GCD) of two positive integers x and y is the greatest integer that is divisor of both…

A. GCD Table time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output The GCD table G of size n × n for an array of positive integers a of length n is defined by formula Let us remind you that the…

C. GCD Table Time Limit: 1 Sec Memory Limit: 256 MB 题目连接 http://codeforces.com/contest/583/problem/C Description The GCD table G of size n × n for an array of positive integers a of length n is defined by formula Let us remind you that the greatest c…

4491. Primes in GCD Table Problem code: PGCD Johnny has created a table which encodes the results of some operation -- a function of two arguments. But instead of a boring multiplication table of the sort you learn by heart at prep-school, he has cre…

题目链接:http://codeforces.com/contest/583/problem/C C. GCD Table time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output The GCD table G of size n × n for an array of positive integers a of length n …

A. GCD Table time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output The GCD table G of size n × n for an array of positive integers a of length n is defined by formula Let us remind you that the…