[CodeVS 1012]最大公约数和最小公倍数问题
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很经典的问题了吧……然而现在才A……
应注意[tex]P*Q=x*y[/tex],然而[tex]P[/tex]和[tex]Q[/tex]都可表示为[tex]x[/tex]的乘积,问题就好思考多了。答案就是[tex]y/x[/tex]的质因子的子集数(同一种质因子不能同时分配到P与Q中,否则gcd(P,Q)会不等于x)。
注意有可能无解!
代码:
#include <iostream> using namespace std; inline int fj(int x){ register int i,ans=0; for(i=2;i<=x && x>1;i++) if(!(x%i)){ ans++; while(!(x%i)) x/=i; } return ans; } int main(){ int a,b; register int ans; cin>>a>>b; if(b%a) ans=0; else ans=a==1?1:1<<fj(b/a); cout<<ans<<endl; return 0; }
Jul 02, 2023 11:53:57 AM
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