class Combination: '''MOD上の 計算量:階乗・逆元テーブルの作成O(N) nCkを求めるO(1)''' def __init__(self, n, MOD): self.fact = [1] for i in range(1, n + 1): self.fact.append(self.fact[-1] * i % MOD) self.inv_fact = [pow(self.fact[i], MOD - 2, MOD) for i in range(n + 1)] self.MOD = MOD def factorial(self, k): """k!を求める O(1)""" return self.fact[k] def inverse_factorial(self, k): """k!の逆元を求める O(1)""" return self.inv_fact[k] def permutation(self, k, r): """kPrを求める O(1)""" if k < r: return 0 return (self.fact[k] * self.inv_fact[r]) % self.MOD def combination(self, k, r): """kCrを求める O(1)""" if k < r: return 0 return (self.fact[k] * self.inv_fact[k - r] * self.inv_fact[r]) % self.MOD def make_divisors(n): """自然数nの約数を列挙したリストを出力する 計算量: O(sqrt(N)) 入出力例: 12 -> [1, 2, 3, 4, 6, 12] """ divisors = [] for k in range(1, int(n**0.5) + 1): if n % k == 0: divisors.append(k) if k != n // k: divisors.append(n // k) divisors = sorted(divisors) return divisors def gcd(a, b): """a, bの最大公約数(greatest common divisor:GCD)を求める""" if b == 0: return a return gcd(b, a%b) n, k = map(int, input().split()) MOD = 10**9 + 7 comb = Combination(10**6 + 10, MOD) gcd_nk = gcd(n, k) div_list = make_divisors(gcd_nk) li = [] for num in div_list: if num == 1: continue total = n // num selected = k // num tmp = comb.combination(total, selected) li.append((total, tmp)) ans = 0 for i in range(len(li)): ans += li[i][1] ans %= MOD for j in range(i): if li[j][0] % li[i][0] == 0: ans -= li[i][1] ans %= MOD print(ans % MOD)