题意: 给两个数,lll 和 ggg,为x , y , z,的最小公倍数和最大公约数,求出x , y , z 的值有多少种可能性 思路: 将x , y , z进行素因子分解 素因子的幂次 x a1 a2 a3 a4 y b1 b2 b3 b4 z c1 c2 c3 c4 gcd min(a1,b1,c1) min(a2,b2,c3)- lcm max(a1,b1,c1) max(a2,b2,c3)- 第一组样例: 6=21 * 31 72= 23 * 32 最大公约数和最小公倍数约分得 12=2…

GCD and LCM Time Limit: 20 Sec Memory Limit: 256 MB 题目连接 http://acm.hdu.edu.cn/showproblem.php?pid=4497 Description Given two positive integers G and L, could you tell me how many solutions of (x, y, z) there are, satisfying that gcd(x, y, z) = G and…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=4497 题意:已知GCD(x, y, z) = G,LCM(x, y, z) = L.告诉你G.L,求满足要求的(x, y, z)有多少组,并且要考虑顺序. 思路:如果L%G != 0显然不存在这样的(x, y, z),相反肯定存在.具体做法就是将L/G分解质因子,得到:L/G = P1^t1 * P2^t2 * ... * Pk^tk,我们来考虑任意一个因子Pi^ti,此时(x/G, y/G, z/…

GCD and LCM HDU 4497 数论 题意 给你三个数x,y,z的最大公约数G和最小公倍数L,问你三个数字一共有几种可能.注意123和321算两种情况. 解题思路 L代表LCM,G代表GCD. \[ x=(p_1^{i_1})*(p_2^{i_2})*(p_3^{i_3})\dots \] \[ y=(p_1^{j_1})*(p_2^{j_2})*(p_3^{j_3})\dots \] \[ z=(p_1^{k_1})*(p_2^{k_2})*(p_3^{k_3})\dots \] \…

GCD and LCM Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 3379    Accepted Submission(s): 1482 Problem Description Given two positive integers G and L, could you tell me how many solutions of…

题意:三个数x, y, z. 给出最大公倍数g和最小公约数l.求满足条件的x,y,z有多少组. 题解:设n=g/l n=p1^n1*p2^n2...pn^nk (分解质因数 那么x = p1^x1 * p2^x2 * .... ^ pn^xk y = p1^y1 * p2^y2 * .... ^ pn^yk x = p1^z1 * p2^z2 * .... ^ pn^zk 那么对于任意i (0<=i<=k) 都有 min(xi, yi, zi) = 0, max(xi, yi, zi) = n…

GCD and LCM Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 40    Accepted Submission(s): 22 Problem Description Given two positive integers G and L, could you tell me how many solutions of (x,…

GCD and LCM Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 2982    Accepted Submission(s): 1305 Problem Description Given two positive integers G and L, could you tell me how many solutions of…

GCD and LCM Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 2024    Accepted Submission(s): 904 Problem Description Given two positive integers G and L, could you tell me how many solutions of (…

Problem Description Given two positive integers G and L, could you tell me how many solutions of (x, y, z) there are, satisfying that gcd(x, y, z) = G and lcm(x, y, z) = L? Note, gcd(x, y, z) means the greatest common divisor of x, y and z, while lcm…