第七章数学 AcWing 1586. 连续因子

拼搏现实的明天。 2024-03-31 10:26 79阅读 0赞

## 第七章 数学 AcWing 1586. 连续因子 ##

### 原题链接 ###

[AcWing 1586. 连续因子][AcWing 1586.]

### 算法标签 ###

数学 数论

### 思路 ###

![在这里插入图片描述][8d5faec475a9476dbe7d873e0a7d8679.png]

### 代码 ###

#pragma GCC optimize(2)
    #pragma GCC optimize(3)
    #include<bits/stdc++.h>
    #define int long long
    #define x first
    #define y second
    #define ump unordered_map
    #define ums unordered_set
    #define pq priority_queue
    #define rep(i, a, b) for(int i=a;i<b;++i)
    #define Rep(i, a, b) for(int i=a;i>=b;--i)
    using namespace std;
    typedef pair<int, int> PII;
    const int N=10005, INF=0x3f3f3f3f3f3f3f3f;
    const double Exp=1e-8;
    //int t, n, m, cnt, ans;
    int n;
    vector<int> ans;
    inline int rd(){
       int s=0,w=1;
       char ch=getchar();
       while(ch<'0'||ch>'9'){if(ch=='-')w=-1;ch=getchar();}
       while(ch>='0'&&ch<='9') s=s*10+ch-'0',ch=getchar();
       return s*w;
    }
    void put(int x) {
        if(x<0) putchar('-'),x=-x;
        if(x>=10) put(x/10);
        putchar(x%10^48);
    }
    signed main(){
    	ios::sync_with_stdio(false);
    	cin.tie(0);
    	cout.tie(0);
    	n=rd();
    	for(int i=2; i*i<=n; ++i){
    	    vector<int> req;
    	    if(!(n%i)){
    	        for(int m=n, j=i; m%j==0; j++){
    	            req.push_back(j);
    	            m/=j;
    	        }
    	        if(req.size()>ans.size()){
    	            ans=req;
    	        }
    	    }
    	}
    	if(ans.empty()){
    	    printf("1\n%lld", n);
    	}else{
    	    printf("%lld\n", ans.size());
    	    printf("%lld", ans[0]);
    	    rep(i, 1,ans.size()){
    	        printf("*%lld", ans[i]);
    	    }
    	}
    	
    	return 0;
    }

### 参考文献 ###

[AcWing 1586. 连续因子（PAT甲级辅导课）y总视频讲解][AcWing 1586. _PAT_y]

原创不易  
转载请标明出处  
如果对你有所帮助 别忘啦点赞支持哈  
![在这里插入图片描述][9cb4cb80a18345158f8a69e2f196e5b9.png]

[AcWing 1586.]: https://www.acwing.com/problem/content/1588/
[8d5faec475a9476dbe7d873e0a7d8679.png]: https://image.dandelioncloud.cn/pgy_files/images/2024/03/31/bb0b8e1cb4d647a9978518780b003d11.png
[AcWing 1586. _PAT_y]: https://www.acwing.com/video/1151/
[9cb4cb80a18345158f8a69e2f196e5b9.png]: https://image.dandelioncloud.cn/pgy_files/images/2024/03/31/e7cd1a06ef6545c19140d4bc9dc56585.png