\ubcf8 \ube14\ub85c\uadf8 \uae00\uc5d0\uc11c\ub294 \uc790\ubc14 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ub4f1\uc7a5\ud558\ub294 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc5d0 \ub300\ud574 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc740 \ub450 \uc218\uc758 \ucd5c\ub300 \uacf5\uc57d\uc218\ub97c \ud6a8\uc728\uc801\uc73c\ub85c \uad6c\ud560 \uc218 \uc788\ub294 \uc54c\uace0\ub9ac\uc998\uc73c\ub85c, \uae30\ucd08\uc801\uc778 \uc218\ud559 \uc9c0\uc2dd\uc774 \ud544\uc694\ud55c \ubb38\uc81c\uc785\ub2c8\ub2e4. \uc774 \uae00\uc5d0\uc11c\ub294 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \uc774\uc6a9\ud55c \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub97c \uc81c\uc2dc\ud558\uace0, \uadf8 \ud574\uacb0 \uacfc\uc815\uc744 \uc790\uc138\ud558\uac8c \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
\ub450 \uc815\uc218 A\uc640 B\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \uc774\uc6a9\ud558\uc5ec \ub450 \uc815\uc218\uc758 \ucd5c\ub300 \uacf5\uc57d\uc218(GCD)\ub97c \uad6c\ud558\ub294 \ud568\uc218\ub97c \uc791\uc131\ud558\uc2dc\uc624.<\/p>\n
\uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc740 \uace0\ub300 \uadf8\ub9ac\uc2a4\uc758 \uc218\ud559\uc790 \uc720\ud074\ub9ac\ub4dc(Euclid)\uac00 \uace0\uc548\ud55c \ubc29\ubc95\uc73c\ub85c, \uc8fc\uc5b4\uc9c4 \ub450 \uc218\uc758 \ucd5c\ub300 \uacf5\uc57d\uc218\ub97c \uad6c\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc785\ub2c8\ub2e4. \ub450 \uc218 A\uc640 B\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, GCD(A, B)\ub294 GCD(B, A % B)\uc640 \uac19\ub2e4\ub294 \uc131\uc9c8\uc744 \uc774\uc6a9\ud569\ub2c8\ub2e4. \uc774 \uacfc\uc815\uc740 A\uac00 0\uc774 \ub420 \ub54c\uae4c\uc9c0 \ubc18\ubcf5\ub418\uba70, \ucd5c\uc885\uc801\uc73c\ub85c B\uc758 \uac12\uc774 GCD\uac00 \ub429\ub2c8\ub2e4.<\/p>\n
\uc704 \uc54c\uace0\ub9ac\uc998\uc744 \ucf54\ub529\uc5d0 \uc801\uc6a9\ud558\uc5ec \ubb38\uc81c\ub97c \ud574\uacb0\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
\uba3c\uc800 \ub450 \uc218\uc758 \ucd5c\ub300 \uacf5\uc57d\uc218\ub97c \uad6c\ud558\ub294 \ud568\uc218\ub97c \uc124\uacc4\ud569\ub2c8\ub2e4. \uc6b0\ub9ac\ub294 \uc7ac\uadc0 \ud568\uc218\ub97c \uc0ac\uc6a9\ud560 \uac83\uc785\ub2c8\ub2e4.<\/p>\n
public static int gcd(int a, int b) {\n if (b == 0) {\n return a;\n }\n return gcd(b, a % b);\n}<\/code><\/pre>\n\uc704 \ucf54\ub4dc\ub294 \ub450 \uc815\uc218 A\uc640 B\ub97c \uc778\uc790\ub85c \ubc1b\uc544 \ucd5c\ub300 \uacf5\uc57d\uc218\ub97c \uc7ac\uadc0\uc801\uc73c\ub85c \uacc4\uc0b0\ud569\ub2c8\ub2e4. B\uac00 0\uc77c \uacbd\uc6b0 A\uac00 \ucd5c\ub300 \uacf5\uc57d\uc218\uc785\ub2c8\ub2e4. \uadf8 \uc678\uc758 \uacbd\uc6b0\uc5d0\ub294 GCD(B, A % B)\ub97c \ud638\ucd9c\ud558\uc5ec \ucd5c\ub300 \uacf5\uc57d\uc218\ub97c \uacc4\uc18d \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/p>\n
2\ub2e8\uacc4: \uba54\uc778 \ud568\uc218 \uc791\uc131<\/h3>\n
\uc774\uc81c \uba54\uc778 \ud568\uc218\ub97c \uc791\uc131\ud558\uc5ec \uc785\ub825\uc744 \ucc98\ub9ac\ud558\uace0, \uc55e\uc11c \ub9cc\ub4e0 GCD \ud568\uc218\ub97c \ud638\ucd9c\ud558\ub3c4\ub85d \ud569\ub2c8\ub2e4.<\/p>\n
import java.util.Scanner;\n\npublic class GCDExample {\n public static void main(String[] args) {\n Scanner scanner = new Scanner(System.in);\n System.out.print(\"\ub450 \uc815\uc218\ub97c \uc785\ub825\ud558\uc138\uc694 (A B): \");\n int a = scanner.nextInt();\n int b = scanner.nextInt();\n\n int result = gcd(a, b);\n System.out.println(\"\ub450 \uc218 \" + a + \"\uc640 \" + b + \"\uc758 \ucd5c\ub300 \uacf5\uc57d\uc218\ub294: \" + result);\n }\n\n public static int gcd(int a, int b) {\n if (b == 0) {\n return a;\n }\n return gcd(b, a % b);\n }\n}<\/code><\/pre>\n\uc704 \ucf54\ub4dc\ub294 \uc0ac\uc6a9\uc790\ub85c\ubd80\ud130 \ub450 \uc218\ub97c \uc785\ub825\ubc1b\uc544 \ucd5c\ub300 \uacf5\uc57d\uc218\ub97c \uacc4\uc0b0\ud558\uace0 \ucd9c\ub825\ud569\ub2c8\ub2e4. Scanner<\/code> \ud074\ub798\uc2a4\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc785\ub825\uc744 \ubc1b\uace0, gcd<\/code> \uba54\uc11c\ub4dc\ub97c \ud638\ucd9c\ud558\uc5ec \uacc4\uc0b0 \uacb0\uacfc\ub97c \uc5bb\uc2b5\ub2c8\ub2e4.<\/p>\n3\ub2e8\uacc4: \ucf54\ub4dc \ud14c\uc2a4\ud2b8<\/h3>\n
\uc774\uc81c \ud504\ub85c\uadf8\ub7a8\uc744 \uc2e4\ud589\ud558\uc5ec \ub450 \uc218\uc758 \ucd5c\ub300 \uacf5\uc57d\uc218\ub97c \uacc4\uc0b0\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4 48\uacfc 18\uc744 \uc785\ub825\ud558\uba74, \ub2e4\uc74c\uacfc \uac19\uc740 \uacb0\uacfc\uac00 \ucd9c\ub825\ub429\ub2c8\ub2e4.<\/p>\n
\ub450 \uc815\uc218\ub97c \uc785\ub825\ud558\uc138\uc694 (A B): 48 18\n\ub450 \uc218 48\uc640 18\uc758 \ucd5c\ub300 \uacf5\uc57d\uc218\ub294: 6<\/code><\/pre>\n\ucd5c\uc801\ud654 \ubc0f \ucd94\uac00 \uc0ac\ud56d<\/h2>\n
\uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc740 \ub9e4\uc6b0 \ud6a8\uc728\uc801\uc778 \uc54c\uace0\ub9ac\uc998\uc73c\ub85c, \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(log(min(A, B)))\uc785\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uc8fc\uc5b4\uc9c4 \ubb38\uc81c\uc5d0\uc11c \ub354 \ub2e4\uc591\ud55c \ud65c\uc6a9 \ubc29\ubc95\uc774\ub098 \uc131\ub2a5 \ucd5c\uc801\ud654\ub97c \uace0\ub824\ud560 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n
\ucd5c\ub300 \uacf5\uc57d\uc218 \ubc30\uc5f4\uc758 \ud65c\uc6a9<\/h3>\n
\uc608\ub97c \ub4e4\uc5b4, \uc5ec\ub7ec \uc218\uc758 \ubc30\uc5f4\uc774 \uc788\ub294 \uacbd\uc6b0 \uc5ec\ub7ec \uc218\uc758 \ucd5c\ub300 \uacf5\uc57d\uc218\ub97c \uad6c\ud558\ub294 \ubc29\ubc95\ub3c4 \uc0dd\uac01\ud574\ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774\ub294 \uc544\ub798\uc640 \uac19\uc740 \ud615\ud0dc\ub85c \uad6c\ud604 \uac00\ub2a5\ud569\ub2c8\ub2e4.<\/p>\n
public static int gcdArray(int[] numbers) {\n int result = numbers[0];\n for (int i = 1; i < numbers.length; i++) {\n result = gcd(result, numbers[i]);\n }\n return result;\n}<\/code><\/pre>\n\uc704 \uba54\uc11c\ub4dc\ub294 \uc815\uc218 \ubc30\uc5f4\uc744 \uc778\uc790\ub85c \ubc1b\uc544, \ubc30\uc5f4 \ub0b4 \ubaa8\ub4e0 \uc218\uc758 \ucd5c\ub300 \uacf5\uc57d\uc218\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/p>\n
\uacb0\ub860<\/h2>\n
\uc774\ubc88 \uae00\uc5d0\uc11c\ub294 \uc720\ud074\ub9ac\ub4dc \ud638\uc81c\ubc95\uc744 \ud65c\uc6a9\ud558\uc5ec \ucd5c\ub300 \uacf5\uc57d\uc218\ub97c \uad6c\ud558\ub294 \ubb38\uc81c\ub97c \ud574\uacb0\ud574 \ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uc774 \uc54c\uace0\ub9ac\uc998\uc740 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \ube48\ubc88\ud788 \ub4f1\uc7a5\ud558\uba70, \ud6c4\ubcf4\uc790\ub4e4\uc758 \ubb38\uc81c \ud574\uacb0 \ub2a5\ub825\uc744 \ud3c9\uac00\ud558\ub294 \ub370 \uc88b\uc740 \ub3c4\uad6c\uac00 \ub429\ub2c8\ub2e4. \uc785\ub825\uc5d0 \ub300\ud55c \uc801\uc808\ud55c \ucc98\ub9ac\ub97c \ud1b5\ud574 \ub2e4\uc591\ud55c \ud06c\uae30\uc758 \uc218\uc5d0 \ub300\ud574\uc11c\ub3c4 \uc548\uc815\uc801\uc73c\ub85c \ub3d9\uc791\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud560 \uc218 \uc788\uc74c\uc744 \ubcf4\uc5ec\uc8fc\uc5c8\uc2b5\ub2c8\ub2e4.<\/p>\n
\uc774\uc640 \uac19\uc740 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub97c \uccb4\uacc4\uc801\uc73c\ub85c \uc815\ub9ac\ud558\uace0 \uc2e4\uc2b5\ud558\ub294 \uac83\uc740 \uc5ec\ub7ec\ubd84\uc774 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0 \ub300\ube44\ud558\ub294 \ub370 \ud070 \ub3c4\uc6c0\uc774 \ub420 \uac83\uc785\ub2c8\ub2e4. \uc5b4\ub824\uc6b4 \ubb38\uc81c\ub97c \uc811\ud588\uc744 \ub54c\ub3c4 \uc720\uc5f0\ud558\uac8c \ub300\ucc98\ud560 \uc218 \uc788\ub3c4\ub85d \ub2e4\uc591\ud55c \ubb38\uc81c\ub97c \uc5f0\uc2b5\ud558\uba74\uc11c \uc2e4\ub825\uc744 \ub2e6\uc544 \ub098\uac00\uc2dc\uae30 \ubc14\ub78d\ub2c8\ub2e4.<\/p>\n
\ucc38\uace0 \uc790\ub8cc<\/h2>\n