B. GCD Problem(900分)
题目:
Given a positive integer nn. Find three distinct positive integers aa, bb, cc such that a+b+c=na+b+c=n and gcd(a,b)=cgcd(a,b)=c, where gcd(x,y)gcd(x,y) denotes the greatest common divisor (GCD) of integers xx and yy.
Input
The input consists of multiple test cases. The first line contains a single integer tt (1≤t≤1051≤t≤105) — the number of test cases. Description of the test cases follows.
The first and only line of each test case contains a single integer nn (10≤n≤10910≤n≤109).
Output
For each test case, output three distinct positive integers aa, bb, cc satisfying the requirements. If there are multiple solutions, you can print any. We can show that an answer always exists.
#include<bits/stdc++.h> using namespace std; int main(){ int n,m; scanf("%d",&n); for(int i=1;i<=n;i++){ scanf("%d",&m); if(m%2!=0){ int k=m/2; if(k%2==0){ printf("%d %d 1\n",k-1,k+1); } else printf("%d %d 1\n",k-2,k+2); } else printf("%d %d 1\n",m/2-1,m/2); } return 0; }
【推荐】国内首个AI IDE,深度理解中文开发场景,立即下载体验Trae
【推荐】编程新体验,更懂你的AI,立即体验豆包MarsCode编程助手
【推荐】抖音旗下AI助手豆包,你的智能百科全书,全免费不限次数
【推荐】轻量又高性能的 SSH 工具 IShell:AI 加持,快人一步
· 地球OL攻略 —— 某应届生求职总结
· 周边上新:园子的第一款马克杯温暖上架
· Open-Sora 2.0 重磅开源!
· 提示词工程——AI应用必不可少的技术
· .NET周刊【3月第1期 2025-03-02】