https://codeforces.com/contest/1152/problem/C

題解：

擴展歐幾得里定理

/* *@Author: STZG *@Language: C++ */ #include <bits/stdc++.h> #include<iostream> #include<algorithm> #include<cstdlib> #include<cstring> #include<cstdio> #include<string> #include<vector> #include<bitset> #include<queue> #include<deque> #include<stack> #include<cmath> #include<list> #include<map> #include<set> //#define DEBUG #define RI register int #define endl "\n" using namespace std; typedef long long ll; //typedef __int128 lll; const int N=100000+10; const int M=100000+10; const int MOD=1e9+7; const double PI = acos(-1.0); const double EXP = 1E-8; const ll INF = 0x3f3f3f3f3f3f3f; int t,n,m,k,p,l,r,u,v; ll ans,cnt,flag,temp,sum; int a[N]; char str; struct node{}; void sloved(int v){ll r=(v-n%v)%v;ll res=(n+r)*(m+r)/__gcd(n+r,m+r);if(res<temp||(res==temp&&r<ans)){temp=res;ans=r;} } int main() { #ifdef DEBUGfreopen("input.in", "r", stdin);//freopen("output.out", "w", stdout); #endif//ios::sync_with_stdio(false);//cin.tie(0);//cout.tie(0);//scanf("%d",&t);//while(t--){scanf("%d%d",&n,&m);k=abs(n-m);if(n>m)swap(n,m);temp=INF;for(int i=1;i*i<=k;i++){if(k%i==0){sloved(i);sloved(k/i);}}cout<<ans<<endl;//}#ifdef DEBUGprintf("Time cost : %lf s\n",(double)clock()/CLOCKS_PER_SEC); #endif//cout << "Hello world!" << endl;return 0; }

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