from collections import defaultdict from math import gcd lcm = lambda x, y: x * y // gcd(x, y) class Eratosthenes(): def __init__(self, size): self.size = size self.isprime = [True] * size self.minfactor = [-1] * size self.mobius = [1] * size self.isprime[1] = False self.minfactor[1] = 1 self.eratosthenes() # 初めに篩にかけて,minfactorとisprimeを生成 def eratosthenes(self): for p in range(2, self.size): if not self.isprime[p]: continue self.minfactor[p] = p self.mobius[p] = -1 for q in range(p+p, self.size, p): self.isprime[q] = False if self.minfactor[q] == -1: self.minfactor[q] = p if (q//p) % p == 0: self.mobius[q] = 0 else: self.mobius[q] = -self.mobius[q] # 高速素因数分解 def prime_factorize(self, number): assert 1 <= number <= self.size factors = defaultdict(int) while number != 1: factors[self.minfactor[number]] += 1 number //= self.minfactor[number] return factors # 高速約数列挙 def divisors(self, number): res = [1] factors = self.prime_factorize(number) for p, cnt in factors.items(): # 追加前の大きさを保存 res_size = len(res) for i in range(res_size): pp = 1 for j in range(cnt): pp *= p res.append(res[i]*pp) return res class UnionFind(object): def __init__(self, size): self.parent = [-1] * size def union(self, x, y): x, y = self.root(x), self.root(y) if x == y: return False if self.parent[x] > self.parent[y]: x, y = y, x self.parent[x] += self.parent[y] self.parent[y] = x return True def root(self, x): if self.parent[x] < 0: return x self.parent[x] = self.root(self.parent[x]) return self.parent[x] def same(self, x, y): return self.root(x) == self.root(y) def size(self, x): return - self.parent[self.root(x)] def group_count(self): return [p < 0 for p in self.parent].count(True) N = int(input()) A = list(map(int, input().split())) edges = [] era = Eratosthenes(2 * 10 ** 5) minA = min(A) minA_idx = A.index(minA) setA = set(A) to_idx = defaultdict(list) for i, a in enumerate(A): if to_idx[a]: edges.append((i, to_idx[a][-1], a)) else: to_idx[a].append(i) for i, a in enumerate(A): divisors = era.divisors(a) for d in divisors: if to_idx[d] and to_idx[d][0] != i: j = to_idx[d][0] edges.append((i, j, lcm(A[i], A[j]))) edges.append((i, minA_idx, lcm(a, minA))) cost = 0 uf = UnionFind(N) edges.sort(key= lambda x:x[-1]) for u, v, w in edges: if uf.same(u, v): continue uf.union(u, v) cost += w print(cost)