java基础知识回顾之---java String final类普通方法的应用之“两个字符串中最大相同的子串”

/*
 * 3,两个字符串中最大相同的子串。
 * "qwerabcdtyuiop"
 * "xcabcdvbn"
 *
 * 思路:
 * 1,既然取得是最大子串,先看短的那个字符串是否在长的那个字符串中。
 *   如果存在,短的那个字符串就是最大子串。
 * 2,如果不是呢,那么就将短的那个子串进行长度递减的方式取子串,去长串中判断是否存在。
 *   如果存在就已找到,就不用在找了。
 * 3.先找最大的子串,再递减子串找,找到,就停止
 */

原理图如图:

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Y0w18q2trTO46ebvQ1m1/aQFPM+3pyWPfahFSv12rqEWeGOVlsD9OZQ1v+UZ3Uath8o7kvp7RZC+KoxxtndyCEENK805HvTD9T9rf728e0r1mdkFq117wu4VP5fBJhjs9T9XHdSBnNQCkVhdsdn5l3U8QqBw7zHcmZHqZrB7fos/X+t6xS7+iQbwZVzUW9WtbTsGVzSvuTlwhjbA+u6EkIIaTONMOIUsZb/NTQa9oDCSGE1Kpbt/afI3Y4BCWVdq7iFL/Lm8cQQsifQw9YB5b62vBfUSnN4HW+f/N2Oz3kfgtFMTYavbqf/Fjyhy0AAD8DmgEUZWRkZGlpWW6HE2Z+t9w7vG5NQgjpueTW52iB/MhQyA2yPtC/Y+sWu58X/9bx48cXmZvEj3i4vGOz6oT80biL2nk3hklHIu8bA7o0I4QQUq/fxANupfzTH/FKX0U6uqz+R2cDj7J+mCCTyYMbEVKrQfPtz+NL362gGUi1ai37jH/IeFWCUup3XaVp3WqE1O4+artjQslxIUz8eHzukEaEEEK6bbROKv1o4ijHjbP7S8fsdRrOe1bqaq8SQbjjlrnSC0F11W4yxgWlP7BuUtyH7fMGS69IbLFlujFFzP5mtGpC+9E77MLTSh+HyzUDIaRWQ12bGOYTjX1/ds4g6T0LQ419S55LJNcMf9ZvuvK+XyJTCOTGvjZYJb0qsei8C+6M/c9jbAYRJzUmMiIiIiKCFZdYkO68zOioyChWTBZfzMtMjYuIiIiIiIhL40nnTYoFWeyEiJKxkjO4IkmsxdL2rZeZFf6b5fvpnkrzTP1/6g8LACAPzQCVhpccYLJjYuP/EUJIr6Xn/ZNlH+fz2a535w7p3b73bsfELKZDSAkyHI6Ob1WPkOo1lEYtso1k2jf9/em+HaTr6TQYOPnEl1LuL473MFoxtFEtQqpVbzL5VkBZZ/DDzVCtZp2Rex3TyzouDbk3uFk9Qkj9LsOPvGKVMB9LxPV+oDemIyGEkIadTH2Yxrc5Adaak/NuLq/baNmr0j4qFbBd724f2ooQQkgL7bcpZc7TV3yt1SS7PYu6/0UIIU01n5T+RyuI+3BbfUiPZWdfJTC9eKFmqD/1mBe7rI9dE113LxgmXUtryrmvJV49kGuG/ttvf0orYzkstvu1HcMJIYSM+PtJag4uNPzHld4M3AQfpzu7F06ZNH78+LFz1ZddfubLSudRSmnw07kzhvdp1/WcXcCLM4dWjx8/fvzovlPWX/eMoZTSrJiX13aNL9mykw8+p/IDLg5p22pp4Wbgfznco12rfU4V8kMDAFCKZoBKxY/7YrZRuc3/CCGk87Krn6XjQ27KZ+PVo/p0nW/yLjpXgTEYL9xm7fDOtQip/r+GU0+6lhEZsR91ZnX48w/yZ+02C3a+Kf2e5WT3a6e3r1qlufr0Z8aVmiil/6AZatUdeu5r2clAacDZgU0JIaRut/kH7YtfQxAke11YO056kaHFkpvJzAs3sQOv6E5tVo8QQrpPvh5Zyl7CxO+G60dJB+KddjxK5ZS5iOwPPJ8h4e2RsT3rEkLqNVn0srRoyWVZH13RoeXci/ahjB/cyzdD2yVGb9NLnZEmE2+7a16XvwghpMk4o/CS9pBrBtlaqwzQDL+XUppBkBz01Ehn/S1H6S0GvDgPM81pi3dbeElvLBJwnDY3bbVk5x3zu19SKaU0y+3UjBbrzRS7bT7j5baOLSee9JEr4rQv52a2b9gCzQAAFQjNAJWKl+xmoju4TV1CSI2uM8z9s2gu+/3t7f3799A4bxtXwo28JYix2zeqW21CyF8Nmh1yLvu6RJz7tRNHDx43NHob9q+W1RdmJ7nbXD106NChQ5tmdW79vx9phnr9DYIUepEsG50WhBBCWqlo3AwqNoJm+1ptmJz3HIZ5xl5lrPVKaWrAyxsXDh48eNDSM7mUXUQp/i+2TJRO32qpY+adU/aajj/yTLfUDzvG9/kfIX/Wa7LaquT3ihPlclC9Y4dFe50jmBcwlWuGFotvfmYp8My2XK9bKwe0JoSQhs21nUv680czAIOSm4HHerZP1/C+S6rsV5AT9fjQevUNRt+TBJRSAcdJu1nHzRahskjIcj7SdviJMq9gSsW8Wt+nwdCtFz4nS1/s01OTC8unNK/bEs0AABUIzQCKev78+fv378v9sPwUb6MNI5vXJtWq/zFk4TkH50fr+/QZtOj424gSF9GnlNLdu3eLxbLJ/alOh9V61CWEkPrN1Eqdb1NOsoPtju3ZpKmpqampqaE+d1i3RkSO4s1Q7DnQpXp/UDpJqNbguTs/FD02J8DaYFrek+aGnnWPL4+lF7khDudV856GNvHsuwhe2Qf9oedAZzrtm9i6LiF/1O2z+EFJT8nghb+9Mr+V0tJDT6PLuD2A4TnQpQp+rDW0AyGE1G3Sv8RJZ2gGYFBiM3AjHHfOmTJq0tzlmjJLZ4zo1XnqVtuANEqpgOOkp9TzuvydQZ5G7VvtLvNOqTycyGfnt01rPmKepqam5rKdBw49en1zQ4dWmJsEABUJzQCKKtd1k+QJ077fXdGz9Z+kWs2/WnTt1aV732kXXodxSx99FVo3Kcfv2opJ0o/iG7XY5/kTzo9SmhXrZbJ74sSJE5UHdalfO/8JZc06Td5728nJycnpzo7B3er9nGYIMJkmfbUOE5Y+KTKC5Sc6X9yQ/3RmtfthqeXQDMKMr2a6A6SH7KL5yC9RgYH4DzUDzf5g0L1tfUKqt+2lahVZ7MvcpDfnVzTqOuOYbUhZVzj+STMkOJ1Q7tFAelXqb7sSEhPNAAxKbIZMXytNlbmrj9586VSYV1BSdt51hlKbISv25bVdE0u2/NSDz9JrF0Jesn/+Ub+FxnF87o3o0Gz1k4QK/NEB4HeHZgBF/bRmoFTEDbir1bR+TUIIadNn6XX30hcgpbRIM2R4X1w6Tvr0r6azr5exbs6Pk4hirqp36tCuVcPaeWPz/usufvoeHB4eHh4Vk5QtnYvww/czKN4M4ffU8ybsj1ls8a3wLRC58Q5nV+c98aDfNqc4xR8YXTp+msfNzXkdMmCDdVCyAqPgH2sGyv98oGe7GoT80brnCsuQIl/kJPieXtx+1NJzn1PKTIB/0gypHy6O7d2UEFKrftOtNiX8YaEZgEHpzTBzy00PdimZy9QMYkFWanx4yaKT0zklLjWc4nCoa+sJpv5lLAMNAFCO0AygqIsXL1pYWPyso0tYN+ZJ59A3Gj7PwDVBwPCR+ejRo0tuBrU7DAP2HyXmZfmab2zZuHb1auSPmrWatJy0zdA5QSQSl3DTQBVohqF67+MVWGOqTBXQDFQSb7O5Yc0/CGmuPN8kqNBIXxDzxXhG60FaN74osmAWmgEqWMn3M8S77Vk6fNbhxzFZBX85iAW8XB5POuL/t3OTKD89Ni4xnZv3UYow7snOiV13WnAEeIogAFQcNANUCdnxj7WaN8if89N/nbFTctm33lJKf1oz5KZ53NPt0bYeIeTPWi0mLN/iFMWwN5rhh5qB0uQ3y1rWIoS0GzHbzKfgrgWJIOfjuZlthy64563INRM0A1S0UtZNyvF7vEdFY/s9t0ihWEIpFfOyIjxevXb9Ep9LaTk0g4d27SYD1z2Oo5TyMsLszk9S0TJxTxSVxw1MAAAKQjNAFZAReW1Lv/odBqnOU+nZhBBCuo/TfvattOv8Rb73ZzQDN87eeHqf1oSQatWqj11q4s3wlDhKf2oz+BpPlA7gO01cbuVfeG3GX7cZaJrl2g6EENJy6MYbnrKfip8TemJCk+FLr/gptKLVP2mGOPsjo7vXI4T81aDZXocSlrtFM0BxYgE3xNXc3Nz84l71wTOn6Z2+Zm5u/vib3O0E2aFWBjumrtG9eeeeubm5xT2TG4+ffGJxKaWUHfTQfP/Mpq3XXrL7xMqklGZEfrQ1XNmk4SwDK5vQspdyppSGXZsxZkDXlafMzc0vnlijuXLHHZdUPHUcACoWmgEqXbqfyc5ezXtMPeaQlB54S3tYM0IIURr3t3lIugKzdXODbq2a0poQQkiTEeeLzo7/R/ip3y6tGS+dKfXHkIXvyh4G/8RmyF83ifSdudaxyLUOYfIH4815D3Zuq2UbrcgDH8oiyvxmuWfYT28GGvFscxtCCGk6Zd1l//zYyfa7qtyy2zbL0LKezSb1r9ZNqtO4xaWSbplHM0BxIl6Wx0P9Io69CS28V47/8wsH9+nr6+sfv3TTIzr/tzjW7fiRg/r6+vpnjK39UiilSd8sLxjo6+vrHzlp+Fmxzzk4rI9X81727CPnoAwFL8MCAJQfNAMo6uXLlx8+fCj3w6b43tk4unWf6QfcY7hUzI///HDNyNaEENJ+wJFnfpyS/mncu3ev3FqryfaHFnWvS0i5rZskYH0wWTyovnTYPOGiIof8ec2QYbVBuihUneHzD7gXfahbjp/1sal5a62W07pJNDf83eV50k5pon73W5wCg5N/0gw5rFeanQghpNnE1Rbf82rH8/yY9r02vGUreIx/0Azcr9c1+rcihJB6TcbcDythDzQDAABAcWgGUNTPWDeJG/3p5PpRjfvOMHQM4okklFIRL8Xl9pbhrQghpGWPnY4JJYzZCq2bRIW+99cMbkcIIXWbDL4XWnz30mVGP796/dKj74VmHvESnY029P2fdCDe44hz8YcvF/fzmsHvVC/pxKu2U1eZhRYdFItj3E2XDZGeastdtlFlPtOtgJAX+uq67mH7YqchTvJ5ulFZeswRR1+H5pZ9m+U/aQYhJ+Hexp6EEFJ/zO47npmUUhpsMLBFHz17hZ+09w+aIfb5jrmdaxJCSKPmO1xLuo6FZgAAACgOzQCKKv9myE14e1G7b52uakefR2XLBlsSftLXy6vHS4fWbfRti39f4WagfJ+7KoPaEEJq1W+q97K0xxsXJ4j3sli7Qu346/BCAz1uzKsTKzpJx8xkoUWkIhN+flozJL/SaN6QEEJaD1h1+3vxj/yFMR/3LZUOcInKWVfFm4GfHXh6+cDZl78Uf3ZyTqTrATXpXRK1Vl3/kl3m05VjnbVn9q/xg81AhVy/hzt6EkLIX9N1TYPSKPW92q1Fi4MuZTzITc6PN0OWz5Vl0l8t0nzzyxJfCc0AAABQHJoBFHXu3Dlzc/NyO5yEF/Hx6uJ+tVV0DL0Ti4x1JaJwBy3VvjX+IKRGzUP2OUXGgsOHD5dvBioJvT1vdJPq1Qj5X8+RZ78rMqudUnFWjNXhuUMXbHsXU/jFCzWDmmVUGbc/U0pLbAaxgJOWwxUW+snkmmH6paiyP78Xs6w2tWhQi1Sr3nHkHKuQkoJAkuhksK7fn9UJIdVraDgrcFFAeuS4p5vb9hh1z7+kY3JiXp7Q6PonIYT8scgoJos5GsThL/dP7lGN/GgzUFFqyAudITUIIdXHbHjixXI5PqBFhz1eP7B6pFwz9Fp5v+xpVJI0T3N15TbVCCE16x5xKfmmCTQDAABAcWgGqBQSTqznycX9G41eff1ryY8yjbTfrdK59h+ENGm71SaJU+I+Mmx3w5FtGlQjpKnSAMM3KWXeOi2RCMM/XtQY0nvtUefEIl/jxdmf1uyW1wy999kr8Jg4od+lSQMbFm6GxHenx+438U/MkduvoBn+qjfByCenxIMV4IZe0+xTtyap0aD13LNupbVLVpDNepWuNQkhhOjcZpXxTlFKKc1JeKs/vqnyggclzeenlNLkb/e0xjX4kxBCppkGpDAcSpATYLF1Rn5ikTmnvRQ5ASl+WsQdXeX/EUJIh0UbtVTadh5w2lXh76aFmoF00TBxzeAxXmcRpL4z2TCwBSGENJtvzCplbXs0AwAAQHFoBqgEYmH8q31qner0WHzQsfQBaezDZYMb/UlI7YYDt98ISmYOgSgbjYk1q1cjpFHvKYffxJcx0ksPdtw4tc6AZXs+lTCTKNvf6tS0VnWkQ9F+Gg+Y78jlJPp/eHJkbo+2tQo1g8DHfO3kPReCk+U/zC5oBvLnX920r0YyXY7nVJAAACAASURBVMPgJzkYDOzYiFSr3nL8cgemp0Mku53a2KthbUJI/RYrboaWMZkqN9HPSKtT42EzXpZWDJRSbsxrgzU9G/1FCBm09k5MacsY8bO9rA7PHN+6U5Mm0sdkN2iqfurRo0ePHjl98mWXOclIkP71/t/D6+UHR9P5TyMVWzAp//vlmoGQUavsghjeUHF2yBu9OT0JIaRtv9P2rNLWtkczQCUQpCWnZeeW32pIIg4nIzVV0f+dhFlp6enZis8KBIDfEpoBKlzi14tntYcSQtoOWn3XmyEFvIzHtqhPCCG1m7VX3Wnq5J/I9E8q693WhUMJIaRZ53Hbr7mGpZa2c8LXu/rq/RsozT/1ueRLHLyk78bbJ0mrofofo/RfB5V4RUCYk/LF7vaedVN79m3a8n//+5OQGnWaLLzsxaGUZgZf1122/sKLhEKDSLlmIKROk1brDa1KWZ2dn+Bjc2hRryb/I9U7qux7G83wc1NKaZK3ib5aw7q1SK06HdQPWX1ilfavf1qIwzU9lWYNBq+0DmA+JJf16ZTWkMZ1yB81emw4+yai+Fsg5Ea73Fo0a9LUXfoHZo5vRwoZuWJfST1W9BBJ3o/Xj2ks/ZY2y0xiuIpNLMtTuBkIGbF8r0fJt4mIc1L8LfbN7tOMkKa9Z5x5kZhT2m+HOD3CaffINoQQQjpPPWbFymb6pRNmRTzcP789IYSQ9hN2v49S/CoLAKWU0tw0n3ePTx/Zevr+O1Z5rJYszI14efr08T2nr952LPsiqYAT+dnm9NGdp28+9S96yRUAoBA0Ayjq9evXrq4/NHVEHj/B5+XlAzo6Ojo6asr/q1WDEEL+16Tb2AXrdM7bfo2RG+MKEgPsrx7U0dHRURvXunbN/PFgnZb9VNS0dHRuOgXr6R+UW2u1ACfEYaf6UEIIqd9+2Mwl63VM3eMy5ffjRH64bPD3IuVmdetMPmrxLbX4IfLPISnw6e5x3RsSQki1ej1n/W1oHVboA+fIB5s2bdBcotyrSYdh03Zes7i5Y3bLejXJHzWb9Z+5WkdHR2Nun2nrrzlH8AqdZn4zDF92+swZ7RmdGrTqOGP5SUunUPljcxL9n17SWjSxT4vahHSYstvic1lzmCillKb4mR1cVL16NVKrQcdRc9fqnLH6GCk/gOWnhtncOLJ8et+W9Qcs17eKEpT9iTg7yO7kSqXaNavVbtBr1ubjt9+Fyz62lIhT35xZM2f0sF6T99oEfzbLXzdplq7R5cuXL1++/MTBI1GB8xam+l7TmdSYEELarbntmSv8odVi85uh88iVuw1ObJjUsM6fIxbqGVz4UGTw42Wpo7lkWq8mhDTtM3vffZ/knJKmJcU5Hj+wVWfjKrUJHWUV0mm42iqtzdt2PCj2VL9k9xs6OjrrV6qN6N44f++Woxeu0dHRO3mp6AkAlIqX7u9qpjN9+Oo9d8PLpRl4UQ6Gx7VU5y/Yal12Mwi5LK+neksmLV9z3BO/tQDACM0Aivp36yZx/G0OTelASjJ2/4NvmQV7coPsTqp2LnFPQghRM3Rq2LrQukkFxML0KC9zo93T8z57btl/7OSZqgWmjO7brEEtMnHTI2ufsv515sR6uZts6Nngf4SQP+o26jxqityBVEcrEUKadpiw0/jjt6B0HuUlBzoZralRo3reCw+efuDx16SiH1Fnul1dNWDOiktOwQKhMCnY8cq+Ff1IA6VeI+WPPWX8sE5NCSFkqPrOm/aB6QoM7vOkhz57dGf9OOkpNOzUd7T8YadPHNWlVV3Sf/YB47esLOaJ/*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" alt="" width="742" height="377" />

代码:

public class StringMax {

    /**
* @param args
*/
public static void main(String[] args) { String s1 = "qwerabcdtyuiop";
String s2 = "xcabcdvbn"; String s = getMax(s2, s1);
System.out.println("s=" + s);
} public static String getMax(String s1,String s2){
//我们不知道S1,S2哪个大的情况下,判断并取出大的和小的
String max,min = null;
max = (s1.length() > s2.length()?s1:s2);
min = max.equals(s1)?s2:s1;//如果大的与S1相等,就返回S2作为小的子符串
for(int i=0;i<s1.length();i++){
for(int a=0,b=s1.length()-i; b!=s1.length()+1;a++,b++){//从图中可以看到,a,b为字符串的量端,当len=8的时候,a=0,b=7;a=1,b=8
String subStr = s1.substring(a,b);//len=8的时候子字符串为:xcabcdvb,cabcdvbn为两个
if(s2.contains(subStr)){//判断大的字符串中是否包含子串
return subStr;
}
}
}
return null;
} /**
* 获取最大子串
*
* @param s1
* @param s2
* @return
*/
public static String getMaxSubstring(String s1, String s2) { String max = null,min = null;
max = (s1.length()>s2.length())?s1:s2;//判断s1和s2哪个长,确定长的字符串和短的字符串
min = max.equals(s1)?s2:s1;
System.out.println("max="+max);
System.out.println("min="+min); for (int i = 0; i < min.length(); i++) { for(int a = 0,b = min.length()-i; b != min.length()+1; a++,b++){//从大到小短的字符串递减 String sub = min.substring(a, b);
System.out.println(sub);//打印没每次内循环产生不同长度的子串
if(max.contains(sub))//长的字符串是否包含短的子串
return sub;
}
} return null;
}
}
 
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