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20230717-N개의 최소공배수 #130

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240 changes: 240 additions & 0 deletions 20230717- N개의최소공배수/LCM/gradlew
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#!/bin/sh

#
# Copyright © 2015-2021 the original authors.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# https://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
#

##############################################################################
#
# Gradle start up script for POSIX generated by Gradle.
#
# Important for running:
#
# (1) You need a POSIX-compliant shell to run this script. If your /bin/sh is
# noncompliant, but you have some other compliant shell such as ksh or
# bash, then to run this script, type that shell name before the whole
# command line, like:
#
# ksh Gradle
#
# Busybox and similar reduced shells will NOT work, because this script
# requires all of these POSIX shell features:
# * functions;
# * expansions «$var», «${var}», «${var:-default}», «${var+SET}»,
# «${var#prefix}», «${var%suffix}», and «$( cmd )»;
# * compound commands having a testable exit status, especially «case»;
# * various built-in commands including «command», «set», and «ulimit».
#
# Important for patching:
#
# (2) This script targets any POSIX shell, so it avoids extensions provided
# by Bash, Ksh, etc; in particular arrays are avoided.
#
# The "traditional" practice of packing multiple parameters into a
# space-separated string is a well documented source of bugs and security
# problems, so this is (mostly) avoided, by progressively accumulating
# options in "$@", and eventually passing that to Java.
#
# Where the inherited environment variables (DEFAULT_JVM_OPTS, JAVA_OPTS,
# and GRADLE_OPTS) rely on word-splitting, this is performed explicitly;
# see the in-line comments for details.
#
# There are tweaks for specific operating systems such as AIX, CygWin,
# Darwin, MinGW, and NonStop.
#
# (3) This script is generated from the Groovy template
# https://github.com/gradle/gradle/blob/master/subprojects/plugins/src/main/resources/org/gradle/api/internal/plugins/unixStartScript.txt
# within the Gradle project.
#
# You can find Gradle at https://github.com/gradle/gradle/.
#
##############################################################################

# Attempt to set APP_HOME

# Resolve links: $0 may be a link
app_path=$0

# Need this for daisy-chained symlinks.
while
APP_HOME=${app_path%"${app_path##*/}"} # leaves a trailing /; empty if no leading path
[ -h "$app_path" ]
do
ls=$( ls -ld "$app_path" )
link=${ls#*' -> '}
case $link in #(
/*) app_path=$link ;; #(
*) app_path=$APP_HOME$link ;;
esac
done

APP_HOME=$( cd "${APP_HOME:-./}" && pwd -P ) || exit

APP_NAME="Gradle"
APP_BASE_NAME=${0##*/}

# Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
DEFAULT_JVM_OPTS='"-Xmx64m" "-Xms64m"'

# Use the maximum available, or set MAX_FD != -1 to use that value.
MAX_FD=maximum

warn () {
echo "$*"
} >&2

die () {
echo
echo "$*"
echo
exit 1
} >&2

# OS specific support (must be 'true' or 'false').
cygwin=false
msys=false
darwin=false
nonstop=false
case "$( uname )" in #(
CYGWIN* ) cygwin=true ;; #(
Darwin* ) darwin=true ;; #(
MSYS* | MINGW* ) msys=true ;; #(
NONSTOP* ) nonstop=true ;;
esac

CLASSPATH=$APP_HOME/gradle/wrapper/gradle-wrapper.jar


# Determine the Java command to use to start the JVM.
if [ -n "$JAVA_HOME" ] ; then
if [ -x "$JAVA_HOME/jre/sh/java" ] ; then
# IBM's JDK on AIX uses strange locations for the executables
JAVACMD=$JAVA_HOME/jre/sh/java
else
JAVACMD=$JAVA_HOME/bin/java
fi
if [ ! -x "$JAVACMD" ] ; then
die "ERROR: JAVA_HOME is set to an invalid directory: $JAVA_HOME

Please set the JAVA_HOME variable in your environment to match the
location of your Java installation."
fi
else
JAVACMD=java
which java >/dev/null 2>&1 || die "ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH.

Please set the JAVA_HOME variable in your environment to match the
location of your Java installation."
fi

# Increase the maximum file descriptors if we can.
if ! "$cygwin" && ! "$darwin" && ! "$nonstop" ; then
case $MAX_FD in #(
max*)
MAX_FD=$( ulimit -H -n ) ||
warn "Could not query maximum file descriptor limit"
esac
case $MAX_FD in #(
'' | soft) :;; #(
*)
ulimit -n "$MAX_FD" ||
warn "Could not set maximum file descriptor limit to $MAX_FD"
esac
fi

# Collect all arguments for the java command, stacking in reverse order:
# * args from the command line
# * the main class name
# * -classpath
# * -D...appname settings
# * --module-path (only if needed)
# * DEFAULT_JVM_OPTS, JAVA_OPTS, and GRADLE_OPTS environment variables.

# For Cygwin or MSYS, switch paths to Windows format before running java
if "$cygwin" || "$msys" ; then
APP_HOME=$( cygpath --path --mixed "$APP_HOME" )
CLASSPATH=$( cygpath --path --mixed "$CLASSPATH" )

JAVACMD=$( cygpath --unix "$JAVACMD" )

# Now convert the arguments - kludge to limit ourselves to /bin/sh
for arg do
if
case $arg in #(
-*) false ;; # don't mess with options #(
/?*) t=${arg#/} t=/${t%%/*} # looks like a POSIX filepath
[ -e "$t" ] ;; #(
*) false ;;
esac
then
arg=$( cygpath --path --ignore --mixed "$arg" )
fi
# Roll the args list around exactly as many times as the number of
# args, so each arg winds up back in the position where it started, but
# possibly modified.
#
# NB: a `for` loop captures its iteration list before it begins, so
# changing the positional parameters here affects neither the number of
# iterations, nor the values presented in `arg`.
shift # remove old arg
set -- "$@" "$arg" # push replacement arg
done
fi

# Collect all arguments for the java command;
# * $DEFAULT_JVM_OPTS, $JAVA_OPTS, and $GRADLE_OPTS can contain fragments of
# shell script including quotes and variable substitutions, so put them in
# double quotes to make sure that they get re-expanded; and
# * put everything else in single quotes, so that it's not re-expanded.

set -- \
"-Dorg.gradle.appname=$APP_BASE_NAME" \
-classpath "$CLASSPATH" \
org.gradle.wrapper.GradleWrapperMain \
"$@"

# Stop when "xargs" is not available.
if ! command -v xargs >/dev/null 2>&1
then
die "xargs is not available"
fi

# Use "xargs" to parse quoted args.
#
# With -n1 it outputs one arg per line, with the quotes and backslashes removed.
#
# In Bash we could simply go:
#
# readarray ARGS < <( xargs -n1 <<<"$var" ) &&
# set -- "${ARGS[@]}" "$@"
#
# but POSIX shell has neither arrays nor command substitution, so instead we
# post-process each arg (as a line of input to sed) to backslash-escape any
# character that might be a shell metacharacter, then use eval to reverse
# that process (while maintaining the separation between arguments), and wrap
# the whole thing up as a single "set" statement.
#
# This will of course break if any of these variables contains a newline or
# an unmatched quote.
#

eval "set -- $(
printf '%s\n' "$DEFAULT_JVM_OPTS $JAVA_OPTS $GRADLE_OPTS" |
xargs -n1 |
sed ' s~[^-[:alnum:]+,./:=@_]~\\&~g; ' |
tr '\n' ' '
)" '"$@"'

exec "$JAVACMD" "$@"
56 changes: 56 additions & 0 deletions 20230717- N개의최소공배수/LCM/src/main/java/Solution.java
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public class Solution {
public int gcd(int a, int b) {
// 최대공약수 메서드, 유클리드 호제법
int x = Math.max(a, b);
int y = Math.min(a, b);

while (x % y != 0) {
int r = x % y;
x = y;
y = r;
}
return y;
}

public int solution(int[] array) {
// 배열의 첫 번째 값을 저장
int answer = array[0];

// 배열의 길이가 1이면 반복 x, 그 이상은 다음 인덱스인 1부터 반복
for (int i = 1; i < array.length; i += 1) {
// 두 값의 최대공약수
int gcd = gcd(answer, array[i]);
// 두 값의 최소공배수
answer = answer * array[i] / gcd;
}
return answer;
}
}

/*
2개의 자연수에 대한 최소공배수, 최대공약수 문제를 다뤄 본 적이 있다. (유클리드 호제법)
- 입력받은 두 수 중 큰 수를 결정
- 큰 수를 작은 수로 나눈다.
- 나머지가 0일 경우 :
최대공약수 = 작은 수
최소공배수 = ( 두 수의 곱 ) / 최대공약수
- 나머지가 0이 아닐 경우
큰 수 = 작은 수
작은 수 = 나머지
큰 수를 작은 수로 나눈다부터 다시 반복
1. 이해
- 두 수의 최소공배수(Least Common Multiple)란
입력된 두 수의 배수 중 공통이 되는 가장 작은 숫자를 의미한다.
- 예를 들어 2와 7의 최소공배수는 14가 된다.
- 정의를 확장해서, n개의 숫자를 담은 배열 array가 입력되었을 때
이 수들의 최소공배수를 반환하는 함수, solution을 완성하라.
2. 계획
- N개의 수의 최소공배수를 구하므로 기존의 두 수의 최대공약수, 최소공배수를 구하는 방식과 다르게
answer의 값을 array의 첫 번째 값으로 고정한다.
- 1번째 인덱스 값과 2번째 인덱스 값의 최소공배수를 answer에 반영하고
그 최소공배수와 다음 3번째 인덱스와의 최소공배수를 구한다.
- 1, 2번째 인덱스의 최소공배수 값과 3번째 인덱스 두 수의 최소공배수를 구한 값을 answer에 반영한다.
- 이와 같은 방법으로 마지막 인덱스의 값과도 최소공배수를 구해 answer에 반영한다.
- 최대공약수를 구하는 함수 gcd를 만든다.
3. 실행
*/
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import org.junit.jupiter.api.Test;

import static org.junit.jupiter.api.Assertions.*;

class SolutionTest {
@Test
void Simple() {
Solution solution = new Solution();
assertEquals(168, solution.solution(new int[]{2, 6, 8, 14}));
assertEquals(6, solution.solution(new int[]{1, 2, 3}));
}
}