Go: package main

import (
	"bufio"
	"fmt"
	"io"
	"math"
	"os"
	"strconv"
	"strings"
)

func main() {
	fmt.Println(resolve(parseProblem(os.Stdin)))
}

func parseProblem(r io.Reader) int {
	const (
		initialBufSize = 100000
		maxBufSize     = 1000000
	)
	buf := make([]byte, initialBufSize)

	sc := bufio.NewScanner(r)
	sc.Buffer(buf, maxBufSize)
	sc.Split(bufio.ScanWords) // bufio.ScanLines
	p, q := scanInt(sc), scanInt(sc)
	base := 1
	d := newRational(p, q).denomi
	for k := range primeFactories(d) {
		base *= k
	}
	return base
}

func isPrime(n int) bool {
	for i := 2; i*i <= n; i++ {
		if n%i == 0 {
			return false
		}
	}
	return true
}

func eratosthenes(n int) []bool {
	t := make([]bool, n)
	for i := 2; i < len(t); i++ {
		t[i] = true
	}
	for i := 2; i < len(t); i++ {
		if !t[i] {
			continue
		}
		for j := 2; j*i < len(t); j++ {
			t[j*i] = false
		}
	}
	return t
}

func primes(n int) chan int {
	ch := make(chan int)
	go func() {
		t := eratosthenes(n)
		for i := 2; i < len(t); i++ {
			if !t[i] {
				continue
			}
			ch <- i
		}
		close(ch)
	}()
	return ch
}

func primeFactories(n int) (terms map[int]int) {
	terms = map[int]int{}
	num := n
	for f := 2; f*f <= n; f++ {
		if num%f != 0 {
			continue
		}
		ex := 0
		for num%f == 0 {
			num /= f
			ex++
		}
		terms[f] = ex
	}
	if num > 1 {
		terms[num] = 1
	}
	return
}

type rational struct {
	frac, denomi int
	neg          int
}

func newRational(frac, denomi int) rational {
	r := rational{frac: frac, denomi: denomi}
	r.canonicalize()
	return r
}

func ratMul(x, y rational) rational {
	r := rational{
		frac:   x.frac * y.frac,
		denomi: x.denomi * y.denomi,
	}
	r.canonicalize()
	return r
}

func ratDiv(x, y rational) rational {
	return ratMul(x, ratInv(y))
}

func ratInv(x rational) rational {
	return rational{frac: x.denomi, denomi: x.frac}
}

func ratAdd(x, y rational) rational {
	r := rational{
		frac:   x.frac*y.denomi + y.frac*x.denomi,
		denomi: x.denomi * y.denomi,
	}
	r.canonicalize()
	return r
}

func ratSub(x, y rational) rational {
	return ratAdd(x, rational{frac: -y.frac, denomi: y.denomi})
}

func (r rational) Float64() float64 {
	b := float64(r.frac) / float64(r.denomi)
	if r.neg == 1 {
		return -b
	}
	return b
}

func (r rational) String() string {
	b := fmt.Sprintf("%d/%d", r.frac, r.denomi)
	if r.neg == 1 {
		return "-" + b
	}
	return b
}

func (r rational) equal(other rational) bool {
	r.canonicalize()
	other.canonicalize()

	return r.neg == other.neg &&
		r.frac == other.frac &&
		r.denomi == other.denomi
}

func (r *rational) canonicalize() {
	if r.frac < 0 {
		r.neg ^= 1
		r.frac = -r.frac
	}
	if r.denomi < 0 {
		r.neg ^= 1
		r.denomi = -r.denomi
	}
	d := gcd(r.frac, r.denomi)
	r.frac /= d
	r.denomi /= d
}

func nextRational(sc *bufio.Scanner) rational {
	s := nextString(sc)
	i := strings.Index(s, ".")
	if i != -1 {
		decimalDigit := len(s) - i - 1
		fr, _ := strconv.Atoi(strings.Replace(s, ".", "", 1))
		return newRational(fr, int(math.Pow10(decimalDigit)))
	}
	i = strings.Index(s, "/")
	if i != -1 {
		fr, _ := strconv.Atoi(s[0:i])
		de, _ := strconv.Atoi(s[i+1 : len(s)])
		return newRational(fr, de)
	}
	fr, _ := strconv.Atoi(s)
	return newRational(fr, 1)
}
func gcd(a, b int) int {
	for b > 0 {
		t := a / b
		a, b = b, a-t*b
	}
	return a
}
func nextInt(sc *bufio.Scanner) int {
	sc.Scan()
	a, _ := strconv.Atoi(sc.Text())
	return int(a)
}

func nextString(sc *bufio.Scanner) string {
	sc.Scan()
	return sc.Text()
}

func resolve(n int) int {
	return n
}

// snip-scan-funcs
func scanInt(sc *bufio.Scanner) int {
	sc.Scan()
	i, _ := strconv.Atoi(sc.Text())
	return int(i)
}
func scanString(sc *bufio.Scanner) string {
	sc.Scan()
	return sc.Text()
}

C++: #include<iostream>
#include<vector>
#include<string>
#include<algorithm>	
#include<map>
#include<set>
#include<utility>
#include<cmath>
#include<cstring>
#include<queue>
#include<stack>
#include<cstdio>
#include<sstream>
#include<iomanip>
#include<assert.h>
#define loop(i,a,b) for(int i=a;i<b;i++) 
#define rep(i,a) loop(i,0,a)
#define pb push_back
#define all(in) in.begin(),in.end()
#define shosu(x) fixed<<setprecision(x)
using namespace std;
//kaewasuretyuui
typedef long long ll;
typedef int Def;
typedef pair<Def,Def> pii;
typedef vector<Def> vi;
typedef vector<vi> vvi;
typedef vector<pii> vp;
typedef vector<vp> vvp;
typedef vector<string> vs;
typedef vector<double> vd;
typedef vector<vd> vvd;
typedef pair<Def,pii> pip;
typedef vector<pip>vip;
//#define mt make_tuple
//typedef tuple<int,string> tp;
//typedef vector<tp> vt;
const double PI=acos(-1);
const double EPS=1e-7;
const int inf=1e9;
const ll INF=2e18;
int dx[]={0,1,0,-1};
int dy[]={1,0,-1,0};
ll gcd(ll a,ll b){
	return (b==0?a:gcd(b,a%b));
}
int main(){
	ll a,b;
	cin>>a>>b;
	ll t=b/gcd(a,b);
	for(ll i=2;i*i<=t;i++){
		ll q=t;
		while(q%i==0)q/=i;
		if(q==1){
			cout<<i<<endl;
			return 0;
		}
	}
	cout<<t<<endl;
}

C++: #include <bits/stdc++.h>
int gcd(int a, int b) {
    if(b == 0) return a;
    else return gcd(b, a%b);
}
int main() {
    int p, q; scanf("%d%d", &p, &q);
    int x = gcd(q, p); p /= x; q/= x;
    for(int i=2; i<=q; i++) {
        int m = q;
        while(!(m % i)) m /= i;
        if(m == 1) {printf("%d\n", i); break;}
    }
}

C++: #include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<ll, ll> P;

#define fi first
#define se second
#define repl(i,a,b) for(ll i=(ll)(a);i<(ll)(b);i++)
#define rep(i,n) repl(i,0,n)
#define each(itr,v) for(auto itr:v)
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define dbg(x) cout<<#x"="<<x<<endl
#define mmax(x,y) (x>y?x:y)
#define mmin(x,y) (x<y?x:y)
#define maxch(x,y) x=mmax(x,y)
#define minch(x,y) x=mmin(x,y)
#define uni(x) x.erase(unique(all(x)),x.end())
#define exist(x,y) (find(all(x),y)!=x.end())
#define bcnt __builtin_popcount

#define INF INT_MAX/3

//// gcd
ll gcd(ll a,ll b){
  return b?gcd(b,a%b):a;
}

int main(){
	cin.sync_with_stdio(false);
  ll p,q;
  cin>>p>>q;
  ll np,nq;
  np=p/gcd(p,q); nq=q/gcd(p,q);
  repl(i,2,100001){
    for(ll j=i;j<1000000000;j*=i){
      if(j==nq){
        cout<<i<<endl;
        return 0;
      }
    }
  }
  cout<<max(2LL,nq)<<endl;
	return 0;
}

C++: #include<iostream>
#include<algorithm>
#include<string>
#include<cmath>
#include<vector>
#include<functional>
#include<stack>

using namespace std;

long long solve(long long a, long long b) {
	long long x = max(a, b), y = min(a, b);
	if (x%y == 0)return y;
	else return solve(x%y, y);
}

int main() {
	long long p, q, r, ans;
	vector<long long> prime(100000);
	cin >> p >> q;
	r = solve(p, q);
	p /= r;
	q /= r;
	long long i = 2, j = 0, temp = q;
	while (temp != 1) {
		if (temp%i == 0) {
			temp /= i;
			prime[j]++;
		}
		else {
			if (i == 2)i = 3;
			else {
				double ii;
				ii = i;
				if (ii > pow(temp, 0.5)) {
					j++;
					prime[j]++;
				}
				else i += 2;
			}
			if (prime[j] > 0)j++;
		}
	}
	sort(prime.begin(), prime.begin() + j);
	if (prime[0] == 1);
	else {
		long long k = 2;
		while (prime[0] != 1 && prime[0] >= k) {
			if (prime[0] % k == 0) {
				int all = 1;
				for (int l = 0; l < j; l++) {
					if (prime[l] % k != 0) {
						if (k == 2)k = 3;
						else k += 2;
						all = 0;
						break;
					}
				}
				if (all = 1) {
					long long qq;
					double kk;
					kk = k;
					qq = pow(q, 1 / kk);
					if (q%qq > 0)q=qq+1;
					else q = qq;
					for (int l = 0; l <= j; l++)prime[l] /= k;
				}
			}
			else {
				if (k == 2)k = 3;
				else k += 2;
			}
		}
	}
	cout << q << endl;
	return 0;
}