from typing import List class UnionFind: """0-indexed""" def __init__(self, n): self.n = n self.parent = [-1] * n self.__group_count = n def unite(self, x, y) -> bool: """xとyをマージ""" x = self.root(x) y = self.root(y) if x == y: return False self.__group_count -= 1 if self.parent[x] > self.parent[y]: x, y = y, x self.parent[x] += self.parent[y] self.parent[y] = x return True def is_same(self, x, y) -> bool: """xとyが同じ連結成分か判定""" return self.root(x) == self.root(y) def root(self, x) -> int: """xの根を取得""" if self.parent[x] < 0: return x else: # 経路圧縮あり # self.parent[x] = self.root(self.parent[x]) # return self.parent[x] # 経路圧縮なし return self.root(self.parent[x]) def size(self, x) -> int: """xが属する連結成分のサイズを取得""" return -self.parent[self.root(x)] def all_sizes(self) -> List[int]: """全連結成分のサイズのリストを取得 O(N)""" sizes = [] for i in range(self.n): size = self.parent[i] if size < 0: sizes.append(-size) return sizes def members(self, x) -> List[int]: """xが属するグループのリストを返す O(N)""" mem = [] r = self.root(x) for i in range(self.n): if self.root(i) == r: mem.append(i) return mem def groups(self) -> List[List[int]]: """全連結成分の内容のリストを取得 O(N・α(N))""" groups = dict() for i in range(self.n): p = self.root(i) if not groups.get(p): groups[p] = [] groups[p].append(i) return list(groups.values()) @property def group_count(self) -> int: """連結成分の数を取得 O(1)""" return self.__group_count N = int(input()) A = list(map(int, input().split())) num = [0]*(10**5+1) id = [list() for _ in range(10**5+1)] for i,a in enumerate(A): num[a] += 1 id[a].append(i) res = 0 l = 0 uf = UnionFind(N) for i in range(10**5+1): if num[i]: for j in range(num[i]-1): uf.unite(id[i][j],id[i][j+1]) res += i edge = [] for i in range(1,10**5+1): m = float('inf') for j in range(i,10**5+1,i): if num[j]: if m==float('inf'): m = j//i else: edge.append([m*j,id[m*i][0],id[j][0]]) edge.sort() for c,a,b in edge: f = uf.unite(a,b) if f: res += c # print(uf.group_count) print(res)