hdu1796 How many integers can you find 容斥原理
2017-03-20 23:29
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Now you get a number N, and a M-integers set, you should find out how many integers which are small than N, that they can divided exactly by any integers in the set. For example, N=12, and M-integer set is {2,3}, so there is another set {2,3,4,6,8,9,10}, all the integers of the set can be divided exactly by 2 or 3. As a result, you just output the number 7.
容斥原理裸题
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容斥原理裸题
1 #include<stdio.h> 2 #include<string.h> 3 #include<algorithm> 4 #include<math.h> 5 using namespace std; 6 typedef long long ll; 7 8 inline int gcd(int a,int b){ 9 return b?gcd(b,a%b):a; 10 } 11 12 int num[15]; 13 14 int main(){ 15 int n,m; 16 while(scanf("%d%d",&n,&m)!=EOF){ 17 n--; 18 for(int i=1;i<=m;++i){ 19 scanf("%d",&num[i]); 20 if(!num[i]){ 21 i--; 22 m--; 23 } 24 } 25 ll ans=0; 26 for(int i=1;i<(1<<m);++i){ 27 int bit=0; 28 int tmp=1; 29 for(int j=1;j<=m;++j){ 30 if(i&(1<<(j-1))){ 31 bit++; 32 tmp=tmp/gcd(tmp,num[j])*num[j]; 33 } 34 } 35 if(bit%2)ans+=n/tmp; 36 else ans-=n/tmp; 37 } 38 printf("%lld\n",ans); 39 } 40 return 0; 41 }
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