uva 10976 fractions again(水题)——yhx

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" alt="" width="985" height="427" />

 #include<cstdio>
int a[],b[];
int main()
{
int i,j,k,l,m,n,x,y,z;
while (scanf("%d",&k)==)
{
n=;
for (i=k+;i<=*k;i++)
if ((k*i)%(i-k)==)
{
a[++n]=k*i/(i-k);
b[n]=i;
}
printf("%d\n",n);
for (i=;i<=n;i++)
printf("1/%d = 1/%d + 1/%d\n",k,a[i],b[i]);
}
}

编程很简单,关键在于数学推导。

∵x≥y

∴1/x≤1/y

∴1/k=1/x+1/y≤2/y

即y≤2k

又易知y>k

在此范围内枚举即可。

验证时,

由1/k=1/x+1/y

得x=ky/(y-k),

判断上式是否为整数即可。

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