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 <string>
#include <queue>
#include <stack>
#include <algorithm>
#include <list>
#include <vector>
#include <complex>
#include <utility>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <climits>
#include <bitset>
#include <ctime>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <cassert>
#include <cstddef>
#include <iomanip>
#include <numeric>
#include <tuple>
#include <sstream>
#include <fstream>

using namespace std;
#define REP(i, n) for (int (i) = 0; (i) < (n); (i)++)
#define FOR(i, a, b) for (int (i) = (a); (i) < (b); (i)++)
#define RREP(i, a) for(int (i) = (a) - 1; (i) >= 0; (i)--)
#define FORR(i, a, b) for(int (i) = (a) - 1; (i) >= (b); (i)--)
#define DEBUG(C) cerr << #C << " = " << C << endl;
using LL = long long;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<LL>;
using VVL = vector<VL>;
using VD = vector<double>;
using VVD = vector<VD>;
using PII = pair<int, int>;
using PDD = pair<double, double>;
using PLL = pair<LL, LL>;
using VPII = vector<PII>;
template<typename T> using VT = vector<T>;
#define ALL(a) begin((a)), end((a))
#define RALL(a) rbegin((a)), rend((a))
#define SORT(a) sort(ALL((a)))
#define RSORT(a) sort(RALL((a)))
#define REVERSE(a) reverse(ALL((a)))
#define MP make_pair
#define FORE(a, b) for (auto &&a : (b))
#define FIND(s, e) ((s).find(e) != (s).end())
#define EB emplace_back
template<typename T> inline bool chmax(T &a, T b){if (a < b){a = b;return true;}return false;}
template<typename T> inline bool chmin(T &a, T b){if (a > b){a = b;return true;}return false;}

const int INF = 1e9;
const int MOD = INF + 7;
const LL LLINF = 1e18;
const double EPS = 1e-18;

//res[i] = n : i???n???
std::map<long long, int> PrimeFactorDecomposition(long long num) {
    std::map<long long, int> res;
    for (long long i = 2; i * i <= num; i++) {
        int cnt = 0;
        while(num % i == 0) cnt++, num /= i;
        if (cnt) res[i] = cnt;
    }
    if (num != 1) res[num] = 1;
    return res;
}

void solve(int p, int q) {
    auto pf = PrimeFactorDecomposition(q / __gcd(p, q));
    long long ans = 1;
    for (auto &&p : pf) ans *= p.first;
    cout << ans << endl;
    return;
}

signed main(void) {
    LL n, m, p, a, b, c, x, y, z, q;
    string s;
    bool f = false;
    while (cin >> n >> m, n) {
        solve(n, m);
        return 0;
    }
}

C++: #include<bits/stdc++.h>
using namespace std;
int main(){
	long long p,q;
	cin >> p >> q;
	for(long long i=2;i*i<=q;i++){
		if(p%i==0&&q%i==0){
			do{
				p/=i;
				q/=i;
			}
			while(p%i==0&&q%i==0);
		}
	}
	cout << q << endl;
	return 0;
}