結果

問題 No.2526 Kth Not-divisible Number
ユーザー StanMarshStanMarsh
提出日時 2023-11-03 22:03:29
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,564 ms / 2,000 ms
コード長 6,764 bytes
コンパイル時間 337 ms
コンパイル使用メモリ 81,768 KB
実行使用メモリ 97,972 KB
最終ジャッジ日時 2023-11-03 22:03:47
合計ジャッジ時間 13,939 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge10
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 121 ms
89,404 KB
testcase_01 AC 120 ms
89,400 KB
testcase_02 AC 121 ms
89,404 KB
testcase_03 AC 1,476 ms
97,968 KB
testcase_04 AC 1,564 ms
97,972 KB
testcase_05 AC 1,454 ms
97,972 KB
testcase_06 AC 1,446 ms
97,972 KB
testcase_07 AC 1,450 ms
97,972 KB
testcase_08 AC 1,237 ms
96,860 KB
testcase_09 AC 1,194 ms
96,920 KB
testcase_10 AC 1,337 ms
97,284 KB
testcase_11 AC 395 ms
92,464 KB
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ソースコード

diff # 

from random import getrandbits, randrange
from string import ascii_lowercase, ascii_uppercase
import sys
from math import ceil, floor, sqrt, pi, factorial, gcd, log, log10, log2, inf, cos, sin
from copy import deepcopy, copy
from collections import Counter, deque, defaultdict
from heapq import heapify, heappop, heappush
from itertools import (
    accumulate,
    product,
    combinations,
    combinations_with_replacement,
    permutations,
)
from bisect import bisect, bisect_left, bisect_right
from functools import lru_cache, reduce
from decimal import Decimal, getcontext
from typing import List, Tuple, Optional


inf = float("inf")


def ceil_div(a, b):
    return (a + b - 1) // b


def isqrt(num):
    res = int(sqrt(num))
    while res * res > num:
        res -= 1
    while (res + 1) * (res + 1) <= num:
        res += 1
    return res


def int1(s):
    return int(s) - 1


from types import GeneratorType


def bootstrap(f, stack=[]):
    def wrapped(*args, **kwargs):
        if stack:
            return f(*args, **kwargs)
        else:
            to = f(*args, **kwargs)
            while True:
                if type(to) is GeneratorType:
                    stack.append(to)
                    to = next(to)
                else:
                    stack.pop()
                    if not stack:
                        break
                    to = stack[-1].send(to)
            return to

    return wrapped


import sys
import os
from io import BytesIO, IOBase

BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")


print = lambda *args, end="\n", sep=" ": sys.stdout.write(
    sep.join(map(str, args)) + end
)


def II():
    return int(input())


def MII(base=0):
    return map(lambda s: int(s) - base, input().split())


def LII(base=0):
    return list(MII(base))


def NA():
    n = II()
    a = LII()
    return n, a


def read_graph(n, m, base=0, directed=False, return_edges=False):

    g = [[] for _ in range(n)]
    edges = []
    for _ in range(m):
        a, b = MII(base)
        if return_edges:
            edges.append((a, b))
        g[a].append(b)
        if not directed:
            g[b].append(a)
    if return_edges:
        return g, edges
    return g


def read_graph_with_weight(n, m, base=0, directed=False, return_edges=False):

    g = [[] for _ in range(n)]
    edges = []
    for _ in range(m):
        a, b, w = MII()
        a, b = a - base, b - base
        if return_edges:
            edges.append((a, b, w))
        g[a].append((b, w))
        if not directed:
            g[b].append((a, w))
    if return_edges:
        return g, edges
    return g


def yes(res):
    print("Yes" if res else "No")


def YES(res):
    print("YES" if res else "NO")


def cmin(dp, i, x):
    if x < dp[i]:
        dp[i] = x


def cmax(dp, i, x):
    if x > dp[i]:
        dp[i] = x


def alp_a_to_i(s):
    return ord(s) - ord("a")


def alp_A_to_i(s):
    return ord(s) - ord("A")


def alp_i_to_a(i):
    return chr(ord("a") + i)


def alp_i_to_A(i):
    return chr(ord("A") + i)


d4 = [(1, 0), (0, 1), (-1, 0), (0, -1)]
d8 = [(1, 0), (1, 1), (0, 1), (-1, 1), (-1, 0), (-1, -1), (0, -1), (1, -1)]


def ranges(n, m):
    return ((i, j) for i in range(n) for j in range(m))


def valid(i, j, n, m):
    return 0 <= i < n and 0 <= j < m


def ninj(i, j, n, m):
    return [(i + di, j + dj) for di, dj in d4 if valid(i + di, j + dj, n, m)]


def gen(x, *args):
    if len(args) == 1:
        return [x] * args[0]
    if len(args) == 2:
        return [[x] * args[1] for _ in [0] * args[0]]
    if len(args) == 3:
        return [[[x] * args[2] for _ in [0] * args[1]] for _ in [0] * args[0]]
    if len(args) == 4:
        return [
            [[[x] * args[3] for _ in [0] * args[2]] for _ in [0] * args[1]]
            for _ in [0] * args[0]
        ]


list2d = lambda a, b, v: [[v] * b for _ in range(a)]
list3d = lambda a, b, c, v: [[[v] * c for _ in range(b)] for _ in range(a)]


class Debug:
    def __init__(self, debug=False):
        self.debug = debug
        cur_path = os.path.dirname(os.path.abspath(__file__))
        self.local = os.path.exists(cur_path + "/.cph")

    def get_ic(self):
        if self.debug and self.local:
            from icecream import ic

            return ic
        else:
            return lambda *args, **kwargs: ...


def lcm(*args):
    if len(args) < 2:
        raise ValueError("At least two numbers are required to calculate LCM.")

    result = abs(args[0])
    for i in range(1, len(args)):
        result = abs(result * args[i]) // gcd(result, args[i])
    return result


def pairwise(a):
    n = len(a)
    for i in range(n - 1):
        yield a[i], a[i + 1]


def factorial(n):
    return reduce(lambda x, y: x * y, range(1, n + 1))


ic = Debug(1).get_ic()

T = 1
T = II()
for _ in range(T):
    a, b, k = MII()

    def check(mid):
        return mid - mid // a - mid // b + mid // lcm(a, b) >= k

    l = 1
    r = 1
    while not check(r):
        l = r
        r *= 10
    res = r
    while l <= r:
        mid = (l + r) // 2
        if check(mid):
            r = mid - 1
            res = mid
        else:
            l = mid + 1
    print(res)
0