#pragma comment(linker, "/STACK:1024000000,1024000000") #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define MAXN 9999 #define MAXSIZE 1010 #define DLEN 4 class BigNum { private: int a[500]; int len; public: BigNum(){len=1;memset(a,0,sizeof(a));} BigNum(const int); BigNum(const char*); BigNum(const BigNum &); BigNum &operator=(const BigNum &); friend istream& operator>>(istream&,BigNum&); friend ostream& operator<<(ostream&,BigNum&); BigNum operator+(const BigNum &)const; BigNum operator-(const BigNum &)const; BigNum operator*(const BigNum &)const; BigNum operator/(const int &)const; BigNum operator^(const int &)const; int operator%(const int &)const; bool operator>(const BigNum &T)const; bool operator>(const int &t)const; void print(); }; BigNum::BigNum(const int b) { int c,d=b; len=0; memset(a,0,sizeof(a)); while(d>MAXN) { c=d-(d/(MAXN+1))*(MAXN+1); d=d/(MAXN+1); a[len++]=c; } a[len++]=d; } BigNum::BigNum(const char *s) { int t,k,index,L,i; memset(a,0,sizeof(a)); L=strlen(s); len=L/DLEN; if(L%DLEN)len++; index=0; for(i=L-1;i>=0;i-=DLEN) { t=0; k=i-DLEN+1; if(k<0)k=0; for(int j=k;j<=i;j++) t=t*10+s[j]-'0'; a[index++]=t; } } BigNum::BigNum(const BigNum &T):len(T.len) { int i; memset(a,0,sizeof(a)); for(i=0;i>(istream &in,BigNum &b) { char ch[MAXSIZE*4]; int i=-1; in>>ch; int L=strlen(ch); int count=0,sum=0; for(i=L-1;i>=0;) { sum=0; int t=1; for(int j=0;j<4&&i>=0;j++,i--,t*=10) { sum+=(ch[i]-'0')*t; } b.a[count]=sum; count++; } b.len=count++; return in; } ostream& operator<<(ostream& out,BigNum& b) { int i; cout<=0;i--) { printf("%04d",b.a[i]); } return out; } BigNum BigNum::operator+(const BigNum &T)const { BigNum t(*this); int i,big; big=T.len>len?T.len:len; for(i=0;iMAXN) { t.a[i+1]++; t.a[i]-=MAXN+1; } } if(t.a[big]!=0) t.len=big+1; else t.len=big; return t; } BigNum BigNum::operator-(const BigNum &T)const { int i,j,big; bool flag; BigNum t1,t2; if(*this>T) { t1=*this; t2=T; flag=0; } else { t1=T; t2=*this; flag=1; } big=t1.len; for(i=0;ii) t1.a[j--]+=MAXN; t1.a[i]+=MAXN+1-t2.a[i]; } else t1.a[i]-=t2.a[i]; } t1.len=big; while(t1.a[len-1]==0 && t1.len>1) { t1.len--; big--; } if(flag) t1.a[big-1]=0-t1.a[big-1]; return t1; } BigNum BigNum::operator*(const BigNum &T)const { BigNum ret; int i,j,up; int temp,temp1; for(i=0;iMAXN) { temp1=temp-temp/(MAXN+1)*(MAXN+1); up=temp/(MAXN+1); ret.a[i+j]=temp1; } else { up=0; ret.a[i+j]=temp; } } if(up!=0) ret.a[i+j]=up; } ret.len=i+j; while(ret.a[ret.len-1]==0 && ret.len>1)ret.len--; return ret; } BigNum BigNum::operator/(const int &b)const { BigNum ret; int i,down=0; for(i=len-1;i>=0;i--) { ret.a[i]=(a[i]+down*(MAXN+1))/b; down=a[i]+down*(MAXN+1)-ret.a[i]*b; } ret.len=len; while(ret.a[ret.len-1]==0 && ret.len>1) ret.len--; return ret; } int BigNum::operator%(const int &b)const { int i,d=0; for(i=len-1;i>=0;i--) d=((d*(MAXN+1))%b+a[i])%b; return d; } BigNum BigNum::operator^(const int &n)const { BigNum t,ret(1); int i; if(n<0)exit(-1); if(n==0)return 1; if(n==1)return *this; int m=n; while(m>1) { t=*this; for(i=1;(i<<1)<=m;i<<=1) t=t*t; m-=i; ret=ret*t; if(m==1)ret=ret*(*this); } return ret; } bool BigNum::operator>(const BigNum &T)const { int ln; if(len>T.len)return true; else if(len==T.len) { ln=len-1; while(a[ln]==T.a[ln]&&ln>=0) ln--; if(ln>=0 && a[ln]>T.a[ln]) return true; else return false; } else return false; } bool BigNum::operator>(const int &t)const { BigNum b(t); return *this>b; } void BigNum::print() { int i; printf("%d",a[len-1]); for(i=len-2;i>=0;i--) printf("%04d",a[i]); printf("\n"); } int main() { int m,n; int T; scanf("%d",&T); while(T--) { scanf("%d%d",&m,&n); BigNum tt = 1; for(int i = 1;i < n;i++) tt = tt*m; int tmp = n; for(int i = 2;i <= n;i++) { while( tmp%i == 0 && (tt%i == 0) ) { tmp /= i; tt = tt/i; } } printf("%d/",tmp); tt.print(); } return 0; }