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hdu 3199 Hamming Problem(构造?枚举?)
题意:
For each three prime numbers p1, p2 and p3, let‘s define Hamming sequence Hi(p1, p2, p3), i=1, ... as containing in increasing order all the natural numbers whose only prime divisors are p1, p2 or p3.
For example, H(2, 3, 5) = 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, ...
So H5(2, 3, 5)=6.
给p1,p2,p3,n,求Hn(p1,p2,p3)
思路:
和humble numbers那题一样,,,看代码,,
代码:
int p1,p2,p3,x;ll a[1000005];int main(){ while(scanf("%d%d%d%d",&p1,&p2,&p3,&x)!=EOF){ if(p1>p2) swap(p1,p2); if(p1>p3) swap(p1,p3); if(p2>p3) swap(p2,p3); a[1]=1; int cn=1; while(cn<=x){ ll temp; ll ans=INF; rep2(i,cn,1){ temp=a[i]*p1; if(temp>a[cn]) ans=min(ans,temp); temp=a[i]*p2; if(temp>a[cn]) ans=min(ans,temp); temp=a[i]*p3; if(temp>a[cn]) ans=min(ans,temp); if(temp<=a[cn]) break; } a[++cn]=ans; } printf("%I64d\n",a[cn]); } return 0;}
hdu 3199 Hamming Problem(构造?枚举?)
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