# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
146676 | pichulia | 분수 (KPI13_fractions) | C++11 | 82 ms | 3064 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<stdio.h>
unsigned long long int find_r(unsigned long long int x, unsigned long long int a, unsigned long long int b)
{
unsigned long long int l,r,mid;
l=1; r=b;
while(l<r)
{
mid = (l+r)/2;
if((x + a*mid)/b < mid) r = mid;
else l=mid+1;
}
return l-1;
}
unsigned long long int gcd(unsigned long long int p, unsigned long long int q)
{
while(p%q){
unsigned long long int t=p%q;
p=q;
q=t;
}
return q;
}
int main()
{
int t;
scanf("%d",&t);
while(t--)
{
unsigned long long int a,b,c,d;
unsigned long long int k,s;
scanf("%llu %llu %llu %llu",&a,&b,&c,&d);
unsigned long long int x,y;
unsigned long long int p,q,r;
unsigned long long int g;
g = gcd(a,b);
a/=g;
b/=g;
g = gcd(c,d);
c/=g;
d/=g;
k = a/b;
if((c-1)/d > k)
{
printf("%llu 1\n",k+1);
}
else
{
a %= b;
c %= d;
if(c==0)c=d;
y=1;
while(1)
{
p=d+(a*y/b)*d;
q=c*y;
if(p<q)break;
r = a*y%b;
s = find_r(r,a,b);
// printf("%llu %llu %llu %llu %llu %llu %llu\n",y, p,q,p-q,r,s, (p+(d-c)*s-q)/c);
y += s+(p+(d-c)*s-q)/c+1;
}
x = a*y/b+1+k*y;
printf("%llu %llu\n",x,y);
}
}
}
Compilation message (stderr)
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