Jam's math problem

    xiaoxiao2025-12-31  9

    Jam's math problem Time Limit:1000MS Memory Limit:65536KB 64bit IO Format:%I64d & %I64u Submit Status Practice HDU 5615 Description Jam has a math problem. He just learned factorization. He is trying to factorize ax^2+bx+c into the form of pqx^2+(qk+mp)x+km=(px+k)(qx+m). He could only solve the problem in which p,q,m,k are positive numbers. Please help him determine whether the expression could be factorized with p,q,m,k being postive. Input The first line is a number T, means there are T(1 \leq T \leq 100 ) cases Each case has one line,the line has 3 numbers a,b,c (1 \leq a,b,c \leq 100000000) Output You should output the "YES" or "NO". Sample Input 2 1 6 5 1 6 4 Sample Output YES NO

    Hint

    就是看看能不能分解因式:

    #include<cstdio> #include<algorithm> using namespace std; int main() { int t; long long a,b,c,i,j; scanf("%d",&t); while(t--) { int f=0; scanf("%lld %lld %lld",&a,&b,&c); for(i=1;i*i<=a;i++) { if(a%i!=0) continue; for(j=1;j*j<=c;j++) { if(c%j!=0) continue; if((i*(c/j)+j*(a/i))==b||(i*j+(c/j)*(a/i))==b) { f=1; } } } if(f==1) printf("YES\n"); else printf("NO\n"); } return 0; }

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