这个题在多校出现过,借个kuangbin大神的代码
#include <stdio.h> #include <algorithm> #include <iostream> #include <string.h> #include <set> #include <map> #include <vector> #include <queue> #include <string> #include <math.h> using namespace std; long long gcd(long long a,long long b) { if(b==0)return a; else return gcd(b,a%b); } long long lcm(long long a,long long b) { return a/gcd(a,b)*b; } long long calc(int n,int a,int b) { long long ans = 0; int i = 0; int ta=0,tb=0; int p = 0; while(i < n) { if(ta+a >= n && tb+b >= n) { ans += (long long)(n-i)*p; i = n; continue; } if(ta+a < tb+b) { ans += (long long)p*(ta+a-i); i = ta+a; p = i - tb; ta+=a; } else if(ta+a==tb+b) { ans+= (long long)p*(ta+a-i); i = ta+a; ta+=a; tb+=b; p = 0; } else { ans += (long long)p*(tb+b-i); i = tb+b; tb+= b; p = i-ta; } } return ans; } int main() { //freopen("in.txt","r",stdin); //freopen("out.txt","w",stdout); int T; int n,a,b; scanf("%d",&T); while(T--) { scanf("%d%d%d",&n,&a,&b); if(a==b) { printf("0\n"); continue; } if(a < b)swap(a,b); long long LCM = lcm(a,b); if(LCM >= n) { printf("%I64d\n",calc(n,a,b)); continue; } long long tmp = calc(LCM,a,b); long long ans = tmp * (n/LCM)+calc(n%LCM,a,b); printf("%I64d\n",ans); } return 0; }