CF 55D Beautiful numbers

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天啊,期末考终于结束了,真的好久没有打代码了!
今天日常感叹一句,fxy也太菜了吧!徐老师也太强了吧!


大意就是,求一个[l,r]区间里所有能被【自己所含有的数字】整除的数字的个数。


1.要用sum%(x*n)%x==sum%x来处理
2.最小公倍数的处理(二进制存不下丫
3.徐老师太强了

#include<iostream>
#include<algorithm>
#include<string.h>
#include<math.h>
#define ll long long 

using namespace std;
const int M=2520;
ll num[50];
ll hash[2600];
ll dp[20][2620][55];

ll gcd(ll a, ll b){
	return b==0?a:gcd(b,a%b);
}

ll dfs(ll dig, ll top, ll rest, ll lcm){	
	if (dig==-1)return rest%lcm==0;
	if (!top&&dp[dig][rest][hash[lcm]]!=-1)  return dp[dig][rest][hash[lcm]];
		
	ll upper= top?num[dig]:9;
	ll ans=0;
	for (int i=0;i<=upper;i++){
		ans+=dfs(dig-1,(top&&i==num[dig]),(rest*10+i)%M,i==0?lcm:lcm*i/gcd(lcm,i));
	}
	
	if (!top) dp[dig][rest][hash[lcm]]=ans;
	//cout<<dig<<" "<<top<<" "<<rest<<" "<<li<<" "<<res<<endl;
	return ans;
}

ll solve(ll n){
	memset(num,0,sizeof(num));
	int di=-1;
	while (n){
		num[++di]=n%10;
		n/=10;
	}
	return dfs(di,true,0,1);
}


void init(){
	memset(hash,0,sizeof(hash));
	int sum=0;
	for (int i=1;i<=M;i++){
		if (M%i==0) hash[i]=++sum;
	}
}
int main(){
	init();
	int T;
	memset(dp,-1,sizeof(dp));
	cin>>T;
	ll l,r;
	while (T--){
		cin>>l>>r;
		cout<<solve(r)-solve(l-1)<<endl;
	}
	return 0;
}


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转载自blog.csdn.net/oidoidoid/article/details/80865459